Simplify Square Roots

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number.

Front

What does it mean to simplify a square root?

Back

To simplify a square root means to express it in its simplest form, often by factoring out perfect squares.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer, such as 1, 4, 9, 16, 25, etc.

Front

How do you identify perfect square factors of a number?

Back

To identify perfect square factors, find the factors of the number and check which of them are perfect squares.

Front

What is the square root of 121?

Back

The square root of 121 is 11.

Front

What is the first step in simplifying a square root?

Back

The first step is to factor the number under the square root into its prime factors.

Front

Can you simplify the square root of 50? If so, how?

Back

Yes, the square root of 50 can be simplified to 5√2, since 50 = 25 * 2 and √25 = 5.

Front

What is the square root of a product?

Back

The square root of a product is equal to the product of the square roots of the factors, i.e., √(a*b) = √a * √b.

Front

What is the square root of 0?

Back

The square root of 0 is 0.

Front

How do you simplify the square root of a fraction?

Back

To simplify the square root of a fraction, take the square root of the numerator and the denominator separately, i.e., √(a/b) = √a / √b.