Add, Subtract, & Multiply Radicals

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you simplify √a * √b?

Back

√a * √b = √(a * b).

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.

Front

What is the sum of two radicals?

Back

The sum of two radicals can only be simplified if they have the same radicand (the number under the root).

Front

Simplify: 2√3 + 2√8 - 3√3

Back

-√3 + 4√2.

Front

What is the rule for adding radicals?

Back

You can only add or subtract radicals with the same index and radicand.

Front

Simplify: (2√2)(3√10)

Back

12√5.

Front

What is the square root of a product?

Back

√(a * b) = √a * √b.

Front

Simplify: √10 ⋅ √45

Back

15√2.

Front

What is the difference between like and unlike radicals?

Back

Like radicals have the same radicand, while unlike radicals do not.