Alg 2 6.2 D2 Dividing Radicals (Monomial Denom)

Front

What is a radical?

Back

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

Front

What does it mean to divide radicals?

Back

Dividing radicals involves simplifying the expression by separating the radicals and rationalizing the denominator if necessary.

Front

How do you simplify the expression √(a)/√(b)?

Back

You can simplify it to √(a/b).

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator means eliminating any radicals from the denominator of a fraction.

Front

How do you rationalize the denominator of 1/√(a)?

Back

Multiply the numerator and denominator by √(a) to get √(a)/a.

Front

What is the result of dividing √(a) by √(b)?

Back

The result is √(a/b).

Front

If you have 3/√(5), how do you rationalize it?

Back

Multiply by √(5)/√(5) to get (3√(5))/5.

Front

What is the formula for dividing two radicals?

Back

The formula is √(a)/√(b) = √(a/b).

Front

What is an example of a monomial denominator?

Back

An example of a monomial denominator is √(3) or 5.

Front

How do you simplify √(12)/√(3)?

Back

Simplify to √(12/3) = √(4) = 2.