How can we use square roots in life?

There are many ways in life you can use square roots. Some of them include a mathmatician, engineer, architect, carpenter, etc.

is this 8th-grade math? im in 5th grade:+

That is awesome for you continue to learn ahead

can a decimal have a square root

Yes, decimals can have square roots. For example, the (principal) square root of 0.64 is 0.8, since 0.8*0.8 = 0.64.

How to calculate imperfect squares?

imperfect square roots (example: 32 SQUARE)(I am going to do square uppercased because I don't know how to make a square root sign) 32 SQUARE start with the number you think is closest to this number 25 SQUARE than the other closest 36 SQUARE than just find the root of these numbers 5 6 it is between 5 and 6 hope this helped and may God bless your day

How do you estimate square roots?

Using the exponent of whole numbers, you can estimate square roots. For example, √39 is a little bigger than 6 squared, which is 36, and it is smaller than 7 squared, which is 49. We can estimate √39 to be between 6 and 7, a little closer to 6. Hope this helped you.

Would you do the same for a negative square root ?🤔

You cannot find the negative square root of a number. Think of what square roots are. If we take 36 and find the square root, you'll see it's 6. Because 6 x 6 = 36. We multiply it by itself and it gives us 36. We can't do this with negatives. Consider -36 and finding the square root of that. Which number multiplied by itself will get -36? Well, remember the rules we have for multiplying negatives and positives. negative x negative = positive negative x positive = positive positive x positive = positive. It can't be -6, because that will give us a positive number, instead of -36. It can't be 6, because that will also give us a positive number instead of -36. So, negatives can't have square roots. You'll learn in more advanced classes what we do in these cases.

How do we know if the answer is positive of negative? e.g. 9 = 3^2 or 9 = -3^2. Are both answers acceptable?

Many times you will see something like this √9 = ±3. The "±" is pronounced "plus or minus" and you will see it in things like quadratic formula. But, sometimes both answers are NOT acceptable. For example, if you are using the pythagorean theorem and trying to get a side length, a negative answer won't work (you cannot have a negative side length). Other scenarios in which you can determine is when you simply know what sign the answer is supposed to be in.

can a negative become a positive by an exponent?

Not quite the right question, but in multiplying (and thus exponents) the number of negatives determines the sign of the answer, so even number of negatives (or even exponents) gives positive answer, negative number (odd exponents give negative answer) So (-2)^2=4 (-2)^3=-8 (-2)^4=16, (-2)^5=-32

Main content

Square roots of perfect squares

CCSS.Math:

8.EE.A.2

Google Classroom

Learn how to find the square root of perfect squares like 25, 36, and 81.

Let's start by taking a look at an example evaluating the square root of start color #1fab54, 25, end color #1fab54:

square root of, start color #1fab54, 25, end color #1fab54, end square root, equals, question mark

Step 1: Ask, "What number squared equals start color #1fab54, 25, end color #1fab54?"

Step 2: Notice that start color #11accd, 5, end color #11accd squared equals start color #1fab54, 25, end color #1fab54.

start color #11accd, 5, end color #11accd, squared, equals, start color #11accd, 5, end color #11accd, times, start color #11accd, 5, end color #11accd, equals, start color #1fab54, 25, end color #1fab54

The answer

square root of, start color #1fab54, 25, end color #1fab54, end square root, equals, start color #11accd, 5, end color #11accd

Here's a question to make sure you understood:

How can we be sure that start color #11accd, 5, end color #11accd is the right answer?

Connection to a square

Finding the square root of start color #1fab54, 25, end color #1fab54 is the same as finding the side length of a square with an area of start color #1fab54, 25, end color #1fab54.

A square with an area of start color #1fab54, 25, end color #1fab54 has a side length of start color #11accd, 5, end color #11accd.

Practice Set 1:

Problem 1A

4, squared, equals

Reflection question

Which claim shows how square roots work?

Practice Set 2:

Problem 2A

square root of, 1, end square root, equals

Practice Set 3:

Problem 3A

square root of, 121, end square root, equals

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Want to join the conversation?

ELLEN
Posted 4 years ago. Direct link to ELLEN's post “is this 8th-grade math? i...”
is this 8th-grade math?
im in 5th grade:+
(5 votes)
Answer
- thomas tomiwa
  Posted 4 years ago. Direct link to thomas tomiwa's post “That is awesome for you c...”
  That is awesome for you continue to learn ahead
  (23 votes)
aniza white
Posted 2 years ago. Direct link to aniza white's post “How can we use square roo...”
How can we use square roots in life?
(6 votes)
Answer
- ⭐BEST20042007⭐
  Posted 2 years ago. Direct link to ⭐BEST20042007⭐'s post “There are many ways in li...”
  There are many ways in life you can use square roots. Some of them include a mathmatician, engineer, architect, carpenter, etc.
  (3 votes)
Gigi💙
Posted 6 years ago. Direct link to Gigi💙's post “Would you do the same for...”
Would you do the same for a negative square root ?🤔
(2 votes)
Answer
- Benny C
  Posted 6 years ago. Direct link to Benny C's post “You cannot find the negat...”
  You cannot find the negative square root of a number. Think of what square roots are. If we take 36 and find the square root, you'll see it's 6. Because 6 x 6 = 36. We multiply it by itself and it gives us 36.
  
  We can't do this with negatives. Consider -36 and finding the square root of that. Which number multiplied by itself will get -36?
  
  Well, remember the rules we have for multiplying negatives and positives.
  negative x negative = positive
  negative x positive = positive
  positive x positive = positive.
  
  It can't be -6, because that will give us a positive number, instead of -36.
  It can't be 6, because that will also give us a positive number instead of -36.
  
  So, negatives can't have square roots.
  
  You'll learn in more advanced classes what we do in these cases.
  (8 votes)
osagier430
Posted 3 years ago. Direct link to osagier430's post “can a decimal have a squa...”
can a decimal have a square root
(4 votes)
Answer
- Ian Pulizzotto
  Posted 3 years ago. Direct link to Ian Pulizzotto's post “Yes, decimals can have sq...”
  Yes, decimals can have square roots. For example, the (principal) square root of 0.64 is 0.8, since 0.8*0.8 = 0.64.
  (3 votes)
FoxLegend
Posted 6 years ago. Direct link to FoxLegend's post “How to calculate imperfec...”
How to calculate imperfect squares?
(3 votes)
Answer
- Autumn
  Posted 6 years ago. Direct link to Autumn's post “imperfect square roots (e...”
  imperfect square roots (example: 32 SQUARE)(I am going to do square uppercased because I don't know how to make a square root sign)
  32 SQUARE
  start with the number you think is closest to this number
  25 SQUARE
  than the other closest
  36 SQUARE
  than just find the root of these numbers
  5
  6
  it is between 5 and 6
  hope this helped and may God bless your day
  (5 votes)
Gavin1027
Posted 2 years ago. Direct link to Gavin1027's post “If I take a times table a...”
If I take a times table and I start to go across down I'll get the square roots right?
1,4,9,16,25,36...
(4 votes)
Answer
ah5425
Posted 5 years ago. Direct link to ah5425's post “How do you estimate squar...”
How do you estimate square roots?
(3 votes)
Answer
- echoi
  Posted 5 years ago. Direct link to echoi's post “Using the exponent of who...”
  Using the exponent of whole numbers, you can estimate square roots.
  For example, √39 is a little bigger than 6 squared, which is 36, and it is smaller than 7 squared, which is 49. We can estimate √39 to be between 6 and 7, a little closer to 6.
  Hope this helped you.
  (2 votes)
Artemis
Posted 2 years ago. Direct link to Artemis's post “How do we know if the ans...”
How do we know if the answer is positive of negative? e.g. 9 = 3^2 or 9 = -3^2. Are both answers acceptable?
(2 votes)
Answer
- Bradley Reynolds
  Posted 2 years ago. Direct link to Bradley Reynolds's post “Many times you will see s...”
  Many times you will see something like this √9 = ±3. The "±" is pronounced "plus or minus" and you will see it in things like quadratic formula. But, sometimes both answers are NOT acceptable. For example, if you are using the pythagorean theorem and trying to get a side length, a negative answer won't work (you cannot have a negative side length). Other scenarios in which you can determine is when you simply know what sign the answer is supposed to be in.
  (3 votes)
Macy L.
Posted a year ago. Direct link to Macy L.'s post “Is there an equation to f...”
Is there an equation to find the square root of a number? (Ex: Evaluate the square root of 81; I know that it's 9, but would there be a way to find out if it was a larger number that I didn't know the answer to?)
(3 votes)
Answer
kaihla.leithauseryoung
Posted 2 years ago. Direct link to kaihla.leithauseryoung's post “can a negative become a p...”
can a negative become a positive by an exponent?
(2 votes)
Answer
- David Severin
  Posted 2 years ago. Direct link to David Severin's post “Not quite the right quest...”
  Not quite the right question, but in multiplying (and thus exponents) the number of negatives determines the sign of the answer, so even number of negatives (or even exponents) gives positive answer, negative number (odd exponents give negative answer)
  So (-2)^2=4 (-2)^3=-8 (-2)^4=16, (-2)^5=-32
  (3 votes)

Pre-algebra

Unit 11: Lesson 1