Add, Subtract, and Multiply Radicals

Front

Simplify 3√6 - 4√6

Back

-√6

Front

Simplify 3√8 + 3√2

Back

9√2

Front

Simplify 3√5 + √20 - √45

Back

2√5

Front

What is a radical?

Back

A radical is a symbol (√) that represents the root of a number.

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is √a * √b?

Back

√a * √b = √(a*b) for non-negative a and b.

Front

What is √(a/b)?

Back

√(a/b) = √a / √b for non-negative a and b.

Front

What is the product of two radicals?

Back

The product of two radicals can be simplified by multiplying the numbers under the radical.

Front

What is the sum of √a and √a?

Back

The sum of √a and √a is 2√a.

Front

What is the difference between √a and √b?

Back

The difference between √a and √b cannot be simplified unless a = b.