IXL - Roots of rational numbers (Algebra 2 practice)

Find the real-number root.

Simplify your answer and write it as a decimal or as a proper or improper fraction.

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question

Find the real-number root.

Simplify your answer and write it as a decimal or as a proper or improper fraction.

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.

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

is even and the radicand

is positive,

is a positive real number. It is called the principal

root.

and

are both

roots and

≠ 0, then

solution

To start, identify the type of root in the question.

The index is 2, so this is a square root.

Rewrite the root so that the radical is applied to the numerator and denominator separately.

Since

= 25, 5 is the principal square root of 25. Also, since

= 4, the principal square root of 2 is 2.

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R.1Roots of integers

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