Adding Subtracting Multiplying and Dividing Radicals

Front

What is a radical?

Back

A radical is a symbol used to indicate the square root or nth root of a number.

Front

What is the radicand?

Back

The radicand is the number or expression inside the radical symbol.

Front

Simplify: √6 ⋅ √6

Back

6

Front

Simplify: √10 ⋅ √45

Back

15√2

Front

Simplify: √3 × √15

Back

3√5

Front

Simplify: -2√10 ⋅ 3√20

Back

-60√2

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified as √a × √b = √(a × b).

Front

What is the sum of two square roots?

Back

The sum of two square roots can only be simplified if they have the same radicand, e.g., √a + √a = 2√a.

Front

How do you simplify √(a^2) ?

Back

√(a^2) = a, where a is a non-negative number.

Front

What is the square root of a product?

Back

The square root of a product is √(a × b) = √a × √b.