Simplifying Radicals

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.

Front

What does it mean to simplify a radical?

Back

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

Front

Simplify √8.

Back

2√2

Front

Simplify √18.

Back

3√2

Front

Simplify √36.

Back

6

Front

Simplify √200.

Back

10√2

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a whole number that, when multiplied by itself, gives the perfect square.

Front

What is the perfect square of 4?

Back

16

Front

What is the perfect square of 9?

Back

81

Front

How do you find the square root of a non-perfect square?

Back

You can simplify it by factoring out perfect square factors.