Rationalizing the Denominator in Radical Expressions

What does it mean to take the square root of a fraction?

• Taking the square root of the numerator and the denominator separately.

• Multiplying the numerator and denominator by the same number.

• Subtracting the square root of the denominator from the square root of the numerator.

• Adding the square roots of the numerator and the denominator.

What is the simplified form of the square root of 9 over 16?

• 2/3

• 1/2

• 4/3

• 3/4

How do you simplify the square root of x^4 over the square root of 25?

• x^2/5

• x^4/25

• x^2/25

• x/5

What is the first step in rationalizing the denominator of 3 over the square root of 2?

• Divide by the square root of 2.

• Multiply by 2.

• Multiply by the square root of 2 over the square root of 2.

• Add the square root of 2.

What is the simplified form of 2 over the square root of 5 after rationalizing the denominator?

• 5/2√5

• 2/√5

• √5/2

• 2√5/5

Which of the following is a correct method to simplify the square root of 9 over the square root of 18?

• Add the square roots of the numerator and the denominator.

• Multiply the numerator and denominator by 2.

• Combine the fractions under one square root.

• Subtract the square root of the denominator from the square root of the numerator.

What is the simplified form of the square root of 1/2?

• 1/√2

• 2/√2

• √2/2

• √2

What is the conjugate of 5 plus the square root of 2?

• 5 minus the square root of 2

• 5 plus the square root of 4

• 5 minus the square root of 3

• 5 plus the square root of 3

What is the simplified form of 4 over 3 minus the square root of 5 after rationalizing the denominator?

• 4 minus 3√5 over 4

• 12 minus 4√5 over 4

• 4 plus 3√5 over 4

• 12 plus 4√5 over 4

What is the final simplified form of 5 over 1 plus the square root of 3 after rationalizing the denominator?

• 5 minus 5√3 over 2

• 5 plus 5√3 over -2

• 5 minus 5√3 over -2

• 5 plus 5√3 over 2