Simplifying Expressions with Square Roots

The video tutorial explains how to simplify square root expressions, focusing on removing square roots from denominators. It begins with the expression √(5/7), showing how to rewrite it and eliminate the square root from the denominator by multiplying by √7. The tutorial then provides an example with 12/√18, demonstrating simplification through prime factorization and removing the square root from the denominator by multiplying by √2. The final simplified expression is 2√2.

Why is the expression square root of 5/7 not considered simplified?

• Because the expression is already simplified

• Because there is a fraction under the square root

• Because the denominator is not a perfect square

• Because the numerator is not a perfect square

What is the first step to simplify the square root of 5/7?

• Subtract 5 from the numerator

• Add 7 to both the numerator and denominator

• Rewrite it as the square root of the numerator divided by the square root of the denominator

• Multiply the numerator and denominator by 7

How can we eliminate the square root from the denominator in the expression square root of 5 divided by square root of 7?

• Divide both the numerator and denominator by 7

• Multiply both the numerator and denominator by the square root of 7

• Multiply both the numerator and denominator by 7

• Multiply both the numerator and denominator by 5

What is the simplified form of the expression square root of 5 times 7 divided by square root of 7 times 7?

• Square root of 5 divided by 7

• Square root of 5 times 7 divided by 7

• Square root of 35 divided by 7

• Square root of 35 divided by 49

What is the prime factorization of 18?

• 2 times 9

• 2 times 3 times 3

• 2 times 2 times 3

• 3 times 6

How does the square root of 18 simplify?

• 2 square root 3

• Square root 6

• 3 square root 2

• Square root 9

What common factor do the numerator and denominator share in the expression 12 divided by 3 square root 2?

• 6

• 4

• 3

• 2

What is the next step after simplifying 12 divided by 3 square root 2 to 4 divided by square root 2?

• Multiply by square root 2

• Divide by square root 2

• Subtract 2 from the denominator

• Add 2 to the numerator

What is the final simplified expression of 4 divided by square root 2?

• Square root 2

• 4 square root 2

• 2 square root 2

• 2

Why do we multiply the numerator and denominator by the square root of 2 in the expression 4 divided by square root 2?

• To change the value of the expression

• To eliminate the square root from the numerator

• To eliminate the square root from the denominator

• To make the expression more complex