Simplifying Radicals with Absolute Value

What is the symbol used to represent absolute value?

• Parentheses

• Curly braces

• Vertical bars

• Square brackets

What does the principal square root of a number represent?

• None of the above

• Both positive and negative square roots

• The positive square root

• The negative square root

When the index is even, what must be true about the answer?

• It must be zero

• It must be positive

• It can be either positive or negative

• It must be negative

What is the square root of 9?

• -3

• 3

• Both -3 and 3

• Neither -3 nor 3

Why do we use absolute value brackets around x in the expression √(9x²)?

• To ensure the answer is a fraction

• To ensure the answer is zero

• To ensure the answer is positive

• To ensure the answer is negative

In the expression √(x⁴y⁶), why is absolute value needed around y?

• Because y is squared

• Because y is cubed

• Because y is raised to an even power

• Because y is raised to an odd power

When the index is odd, what can be true about the answer?

• It must be positive

• It must be negative

• It can be either positive or negative

• It must be zero

What is the cube root of -8?

• 4

• -4

• -2

• 2

In the expression √(x⁴y⁸), why is absolute value not needed around y?

• Because y is cubed

• Because y is squared

• Because y is raised to an odd power

• Because y is raised to an even power

What should you do if the exponent on the answer is odd and the index is even?

• Use absolute value brackets

• Ignore the exponent

• Use curly braces

• Use parentheses