Simplifying numerical radical expressions

4 videos
3 skills
In this tutorial you will simplify numerical expressions with radicals by removing all factors that are perfect squares from inside the radical.

Simplify numerical radical terms

PRACTICE PROBLEMS
Simplify numerical radical terms by removing all factors that are perfect squares from inside the radical.

How to simplify a sum of radical terms (example)

VIDEO 4:41 minutes
Sal shows how to group like terms to add and simplify radical terms, by simplifying the expression √(2x^2)+4√8+3√(2x^2)+√8.

How to simplify a difference of radical terms (example)

VIDEO 5:45 minutes
Sal shows how to group like terms to subtract and simplify radical terms, by simplifying the expression 4∜(81x^5)-2∜(81x^5)-√(x^3).

Add, subtract, multiply, and divide numerical radical terms

PRACTICE PROBLEMS
Practice simplifying radical expressions with two terms.

How to rationalize a radical denominator (example)

VIDEO 10:18 minutes
Sal shows how to manipulate expressions like 1/√2 and 12/(2-√5) so there's no radical in the denominator. This is called "rationalizing the denominator."

How to rationalize a radical denominator in a variable expression (example)

VIDEO 4:58 minutes
Sal shows how to rationalize the denominator of the expression (16+2x^2)/(√8).

Simplify numerical radical expressions with multiple terms

PRACTICE PROBLEMS
Practice simplifying expressions with multiple radical terms combined by addition, subtraction, multiplication, and/or division.