Multiplying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Front

How do you multiply two square roots?

Back

To multiply two square roots, multiply the numbers inside the radicals and then take the square root of the result. For example, √a × √b = √(a × b).

Front

Simplify: √5 × √10

Back

5√2

Front

What is the product of √3 and √15?

Back

3√5

Front

Simplify: 5√6 ⋅ 6√18

Back

180√3

Front

What is the simplified form of √10 ⋅ √45?

Back

15√2

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 root of a quotient?

Back

The square root of a quotient is equal to the quotient of the square roots: √(a/b) = √a / √b.

Front

How do you simplify √(a^2) where a is a positive number?

Back

√(a^2) = a.

Front

What is the result of multiplying √x^2 and √x?

Back

x√x.