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 radicals?

Back

To multiply two radicals, multiply the numbers outside the radicals and the numbers inside the radicals separately, then simplify if possible.

Front

Simplify: 5√6 ⋅ 6√18

Back

180√3

Front

What is the product of (-2√7) and (3√28)?

Back

-84

Front

What is the square root of 28?

Back

√28 = √(4*7) = 2√7.

Front

Simplify: 6√2 ⋅ 5√14

Back

60√7

Front

What is the product of two negative radicals?

Back

The product of two negative radicals is positive.

Front

What is the simplified form of √(a*b)?

Back

√(a*b) = √a * √b.

Front

What is the value of √(49)?

Back

√(49) = 7.

Front

If a = 4 and b = 9, what is √(a*b)?

Back

√(4*9) = √36 = 6.