Simplifying Radicals- all means

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root. It is denoted by the radical sign (√).

Front

How do you simplify a square root?

Back

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

Front

What is the square root of 98 simplified?

Back

The square root of 98 simplifies to 7√2.

Front

What is the process for adding radicals?

Back

To add radicals, they must have the same index and radicand. If they do, combine the coefficients of the radicals.

Front

How do you subtract radicals?

Back

Similar to addition, radicals can only be subtracted if they have the same index and radicand. Combine the coefficients accordingly.

Front

What is the square root of 18 simplified?

Back

The square root of 18 simplifies to 3√2.

Front

What is the square root of 12 simplified?

Back

The square root of 12 simplifies to 2√3.

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 150 simplified?

Back

The square root of 150 simplifies to 5√6.

Front

What is the square root of 175 simplified?

Back

The square root of 175 simplifies to 5√7.