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 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.