Simplifying Square Roots and Operations

The video tutorial explains how to perform operations involving square roots by simplifying them through prime factorization. It begins with the factorization of numbers 50 and 18, then demonstrates how to simplify the square roots by identifying perfect square factors. The tutorial continues by combining like radicals and concludes with the final simplification of the expression, resulting in a simplified difference of 11 square root 2x.

What is the first step in solving the given problem involving square roots?

• Performing addition

• Simplifying the square roots

• Dividing the terms

• Multiplying the terms

What is the prime factorization of 50?

• 2 x 5 x 5

• 2 x 3 x 3

• 3 x 3 x 2

• 5 x 5 x 3

Which of the following is a perfect square factor in the expression for 18?

• 5 x 5

• x

• 3 x 3

• 2

How do you rewrite the expression 50x using its prime factors?

• 2 x 5 x 5 x x

• 5 x 5 x 3 x x

• 2 x 3 x 3 x x

• 3 x 3 x 2 x x

What is the simplified form of the square root of 5 x 5?

• 10

• 5

• 25

• 2.5

What is the result of simplifying the expression 7 times the square root of 5 x 5?

• 25

• 35

• 7

• 5

What is the simplified form of the square root of 3 x 3?

• 3

• 6

• 9

• 1.5

What is the result of simplifying the expression 8 times the square root of 3 x 3?

• 24

• 8

• 3

• 16

What is the final simplified expression after subtracting like radicals?

• 59 square root 2x

• 24 square root 2x

• 35 square root 2x

• 11 square root 2x

What is the difference between 35 square root 2x and 24 square root 2x?

• 11 square root 2x

• 59 square root 2x

• 9 square root 2x

• 1 square root 2x