Simplifying Square Roots and Factors

The video tutorial explains how to simplify square roots by identifying perfect square factors. It provides examples of simplifying the square roots of 9, 36, and 121, demonstrating the process of finding a number squared equal to the radicand. The tutorial emphasizes the principle square root, focusing on positive roots, and introduces prime factorization as a helpful technique for non-perfect square radicands.

What is a square root considered simplified?

• When the radicand has no perfect square factors.

• When the radicand is a multiple of 10.

• When the radicand is a prime number.

• When the radicand is an even number.

What is the principle square root of 9?

• 0

• 3

• -3

• 9

Why is -3 not considered when simplifying the square root of 9?

• Because -3 is not a factor of 9.

• Because we only consider the positive square root.

• Because -3 is not a perfect square.

• Because -3 is not a real number.

What is the square root of 36?

• 18

• 12

• 6

• 3

How can prime factorization help in simplifying square roots?

• By identifying perfect square factors.

• By identifying non-perfect square factors.

• By converting the radicand to an even number.

• By making the radicand a prime number.

What is the prime factorization of 36?

• 2 x 18

• 3 x 12

• 2 x 2 x 3 x 3

• 6 x 6

What is the square root of 121?

• 13

• 12

• 11

• 10

Which of the following is a perfect square?

• 50

• 64

• 75

• 90

What is the result of simplifying the square root of a perfect square?

• A complex number

• An integer

• A decimal

• A fraction

Which number is a factor of both 36 and 121?

• 3

• None of the above

• 6

• 2