Operations with Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to indicate the root of a number, most commonly the square root.

Tags

CCSS.8.NS.A.1

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 the product of two radicals?

Back

The product of two radicals can be simplified by multiplying the numbers inside the radicals and then simplifying the resulting radical.

Front

Simplify: 6√2 ⋅ 5√14

Back

60√7

Front

What is √48 simplified?

Back

4√3

Front

What is the square of a square root?

Back

The square of a square root of a number is the original number itself, e.g., (√x)² = x.

Tags

CCSS.HSN.RN.A.2

Front

Simplify: √6 ⋅ √6

Back

6

Front

What is the simplified form of 2√24?

Back

4√6

Front

How do you simplify √150?

Back

5√6

Front

What is the rule for multiplying radicals?

Back

When multiplying radicals, multiply the numbers inside the radicals and then simplify.