Simplify Radicals

Front

What is a radical in mathematics?

Back

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

Front

How do you simplify the square root of a product?

Back

To simplify the square root of a product, you can separate the square root into the product of the square roots of each factor: √(a*b) = √a * √b.

Front

What is the square root of 1?

Back

The square root of 1 is 1.

Front

What is the square root of 169?

Back

The square root of 169 is 13.

Front

How do you simplify √18?

Back

√18 can be simplified to 3√2.

Front

What is the square root of 80?

Back

The square root of 80 is 4√5.

Front

What is the square root of 125?

Back

The square root of 125 is 5√5.

Front

What is the process for simplifying a radical?

Back

To simplify a radical, factor the number under the radical into its prime factors, then pair the factors to take them out of the radical.

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means rewriting it in its simplest form, removing any perfect square factors from under the radical.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.