Dividing Radicals

Front

What is a radical in mathematics?

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 expression?

Back

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

Front

What does it mean to rationalize a denominator?

Back

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

Front

What is the product of two radicals?

Back

The product of two radicals can be simplified by multiplying the numbers under the radicals together and then simplifying the resulting radical.

Front

How do you divide radicals?

Back

To divide radicals, divide the numbers under the radicals and simplify the result.

Front

What is the square root of 36?

Back

The square root of 36 is 6.

Front

What is the square root of a product?

Back

The square root of a product is equal to the product of the square roots of each factor: √(a*b) = √a * √b.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

What is the result of (3xy)²?

Back

(3xy)² = 9x²y².

Front

How do you rationalize the denominator of 1/√3?

Back

Multiply the numerator and denominator by √3 to get √3/3.