Adding, Subtracting, and Multiplying Radicals

Front

What is a radical?

Back

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

Front

What does it mean to simplify a radical expression?

Back

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

Front

What is the product of √a and √b?

Back

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

Front

Simplify: √10 ⋅ √45

Back

15√2

Front

What is the square root of 25?

Back

5

Front

Simplify: 5√3 - 2√12

Back

3√3

Front

What is the product of √12 and √27?

Back

6√3

Front

Simplify: √5 × √10

Back

5√2

Front

What is the sum of √a and √a?

Back

2√a, where a is a non-negative number.

Front

What is the difference between adding and subtracting radicals?

Back

Adding radicals combines like terms, while subtracting radicals removes one radical from another.