IXL - Nth roots (Algebra 2 practice)

Simplify the radical expression, where

is an odd positive integer.

Write your answer in the form

where

and

are constants or expressions in

Use at most one radical in your answer, and at most one absolute value symbol in your expression for

ref_doc_title.

Learn with an example

question

Simplify the radical expression, where

is an odd positive integer.

Write your answer in the form

where

and

are constants or expressions in

Use at most one radical in your answer, and at most one absolute value symbol in your expression for

key idea

For real numbers

and

and a positive integer

is an

root of

For example, 2 is a fourth root of 16 because

In the expression

the symbol

is called the

radical,

is called the

index,

and

is called the

radicand.

the radical is a square root and the 2 is not written:

is even,

In this case, the radical outputs a non-negative value.

is odd,

and

are both

roots, then

solution

Factor the radicand and group the

powers.

Since

is odd,

(

)

Since

is odd,

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R.4Simplify radical expressions with variables I

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