Square Roots and Exponents

The video tutorial explains how to simplify square roots by finding a non-negative number that, when squared, equals the given number. It provides examples with the square roots of 4, 49, and 144, demonstrating the process of breaking down the numbers into their factors and verifying the results by squaring the simplified values.

What is the definition of a square root?

• A number that is subtracted from itself to get another number

• A number that is multiplied by itself to get another number

• A number that is divided by itself to get another number

• A number that is added to itself to get another number

If m equals n squared, what is the square root of m?

• n squared

• m squared

• n

• m

What is the square root of 4?

• 4

• 3

• 2

• 1

Which of the following is equal to 2 squared?

• 6

• 8

• 4

• 2

What is the square root of 49?

• 8

• 7

• 6

• 5

Which of the following is equal to 7 squared?

• 56

• 47

• 49

• 42

What is the square root of 144?

• 12

• 11

• 10

• 13

Which of the following is equal to 12 squared?

• 156

• 144

• 132

• 120

What is the term for the number under the square root symbol?

• Factor

• Radicand

• Base

• Exponent

What is the purpose of finding the square root of a number?

• To find a number that, when divided by itself, equals the original number

• To find a number that, when added to itself, equals the original number

• To find a number that, when squared, equals the original number

• To find a number that, when subtracted from itself, equals the original number