Adding and Subtracting Radicals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root, cube root, etc. The most common radical is the square root.

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the root into its prime factors and look for pairs of factors. Each pair can be taken out of the root as a single factor.

Front

What is the square root of 24 simplified?

Back

The square root of 24 simplifies to 2√6.

Front

How do you add radicals?

Back

To add radicals, you can only combine them if they have the same radicand (the number under the root). If they do, you add the coefficients.

Front

What is the result of √5 + √20?

Back

The result of √5 + √20 simplifies to 3√5.

Front

What is the process for subtracting radicals?

Back

Subtracting radicals follows the same rules as adding them; you can only subtract radicals with the same radicand.

Front

What is the simplified form of -2√2 - 3√8 - √5?

Back

The simplified form is -8√2 - √5.

Front

What is the value of 11√5?

Back

11√5 is already in its simplest form and represents 11 times the square root of 5.

Front

How do you combine like terms in radical expressions?

Back

Combine like terms by adding or subtracting the coefficients of the radicals that have the same radicand.

Front

What is the square root of 8 simplified?

Back

The square root of 8 simplifies to 2√2.