Multiply Radicals Using Distributive Property

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you multiply a radical by a binomial?

Back

Use the distributive property to multiply the radical by each term in the binomial, then simplify the result.

Front

What is the result of √a * √b?

Back

√a * √b = √(a*b), provided a and b are non-negative.

Front

What is the simplified form of √(a^2)?

Back

√(a^2) = |a|, which is the absolute value of a.

Front

Multiply: √6(3 + √3)

Back

3√6 + 3√2.

Front

Simplify: 2√5(3√3 + 6√2)

Back

6√15 + 12√10.

Front

Multiply: -4√2(√6 + 2)

Back

-8√3 - 8√2.

Front

What is the product of two radicals?

Back

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

Front

Simplify: 6√2 * 5√14

Back

60√7.

Front

Multiply: 2√3(√6 - √3)

Back

6√2 - 6.