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# Square roots of perfect squares

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
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

## Want to join the conversation?

• That is awesome for you continue to learn ahead
• 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.
• 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.
• 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
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
• 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...
• 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.