Simplify Radicals Simplify the Square Root of a Number

The video tutorial explains how to handle square roots of non-square numbers. It begins by reviewing the concept of square roots and square numbers, highlighting how square roots of perfect squares simplify easily. The instructor then identifies known square numbers and attempts to express the non-square number 24 using these. By rewriting 24 as a product of a square number and another number, the instructor demonstrates how to simplify the square root of 24, resulting in 2√6. The tutorial emphasizes the importance of recognizing square numbers to simplify square roots effectively.

What happens when you take the square root of a perfect square?

• The number becomes negative.

• The square and the square root cancel each other out.

• The square root becomes a fraction.

• The number doubles.

Which of the following is NOT a perfect square?

• 9

• 16

• 25

• 24

How can 24 be expressed using a square number?

• As 16 times 1.5

• As 4 times 6

• As 25 times 0.96

• As 9 times 2.5

What is the simplified form of the square root of 24?

• 5√2

• 2√6

• 3√8

• 4√3

Why can't the number 6 be simplified further under the square root?

• Because 6 is an even number.

• Because 6 cannot be expressed as a product of smaller square numbers.

• Because 6 is a prime number.

• Because 6 is already a perfect square.