Simplifying Radicals and Radical Operations Expressions

What steps were take to simplify the radical expression?

• Clear parenthesis

• Perform all operations that can be

• Cancel all multiplied ones and added zeros

• Get rid of non standard forms

There are three laws of square roots you can use to help you simplify expressions with square roots Choose the statements below that are FALSE.

The following value is unsimplified because it has a factor a a perfect square inside the radical. See how the laws of radicals are used to simplify it. Then select the simplified answer.

In the last question, it was easy to see the factor of 4 which is a perfect square. Sometimes it is a little more difficult to see the perfect square factors. It might help to prime factor instead. Finish simplifying the expression below. \sqrt{72}\ =\ \sqrt{8\ \cdot\ 9} =\ \sqrt{2\ \cdot\ 2\ \cdot\ 2\ \cdot\ 3\ \cdot\ 3} =\sqrt{2}\ \cdot\ \sqrt{2}\ \cdot\ \sqrt{2}\ \cdot\sqrt{3}\ \cdot\sqrt{3}

Finish simplifying the following expression with radicals

Finish simplifying the following expression with radicals

Simplify.

• A

• B

• C

• D

In the picture, the "3" is called...

• the index

• the radical sign

• the radicand

• none