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 a monomial?

Back

A monomial is a polynomial with only one term, such as 3x or 5.

Front

What is the product of two radicals?

Back

The product of two radicals can be combined under one radical: √(a) * √(b) = √(a*b).

Front

How do you divide two monomials?

Back

To divide two monomials, divide the coefficients and subtract the exponents of like bases.

Front

What is the result of (3√(2))/(√(8))?

Back

The result is (3√(2))/(2√(2)) = 3/2.

Front

What is the first step in dividing radicals?

Back

The first step is to simplify each radical if possible before performing the division.