Learning how to simplify radical expression

The video tutorial explains how to work with square numbers and rewrite non-square numbers using square factors. It emphasizes the importance of identifying the largest square factor to simplify expressions. The process involves breaking down numbers into their square components and using square roots to simplify mathematical expressions.

What is the assumed index when no number is in front of a square root?

• 1

• 2

• 3

• 4

Which is the largest square number that divides 75 evenly?

• 36

• 16

• 9

• 25

How can 25 be expressed in terms of a square?

• 6 squared

• 5 squared

• 4 squared

• 3 squared

What is the simplified form of sqrt(75) in terms of square roots and R?

• sqrt(15) times R

• sqrt(5) times 3R

• sqrt(3) times 5R

• sqrt(25) times 3R

Why is it beneficial to rewrite a number in terms of a square number?

• It simplifies the expression

• It is a requirement for all equations

• It makes calculations faster

• It changes the value