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 (∛).

Tags

CCSS.8.NS.A.1

Front

How do you multiply two radicals?

Back

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

Front

What is the product of √5 and √10?

Back

5√2

Front

How do you simplify √a × √b?

Back

Combine the radicands: √a × √b = √(a*b).

Front

What is the result of (-2√7)(3√28)?

Back

-84

Front

How do you simplify √10 × √45?

Back

15√2

Front

What is the simplified form of 2√3√14?

Back

2√42

Front

What is the rule for adding or subtracting radicals?

Back

You can only add or subtract radicals that have the same radicand (the number inside the radical). For example, √2 + √2 = 2√2.

Front

What is the simplified form of -10√10?

Back

-10√10 is already in its simplest form.

Front

What is the square root of 50?

Back

√50 = 5√2.