Dividing Radicals

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you simplify a radical?

Back

To simplify a radical, factor the number under the root into its prime factors and look for pairs (for square roots) or triplets (for cube roots) to simplify.

Front

What is the square root of 36?

Back

6

Front

How do you divide radicals?

Back

To divide radicals, divide the numbers outside the radical and the numbers inside the radical separately, then simplify if possible.

Front

What is the result of √(a^2)?

Back

a, where a is a non-negative number.

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals in the denominator of a fraction.

Front

What is the simplified form of √(18)?

Back

3√2.

Front

How do you multiply radicals?

Back

To multiply radicals, multiply the numbers outside the radicals and the numbers inside the radicals, then simplify.

Front

What is the product of √3 and √12?

Back

√36, which simplifies to 6.

Front

What is the simplified form of (√8)/(√2)?

Back

√4, which simplifies to 2.