Practice with Simplifying Square Roots(Radicals)

Front

What is a square root?

Back

A square root of a number x is a value y such that y² = x. For example, the square root of 9 is 3 because 3² = 9.

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. It is typically represented with the radical symbol (√).

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 1?

Back

The square root of 1 is 1, since 1² = 1.

Front

What is the square root of 0?

Back

The square root of 0 is 0, since 0² = 0.

Front

How do you simplify √24?

Back

To simplify √24, factor it into √(4*6) = √4 * √6 = 2√6.

Front

What is the simplified form of √72?

Back

The simplified form of √72 is √(36*2) = √36 * √2 = 6√2.

Front

How do you simplify 5√80?

Back

To simplify 5√80, first simplify √80 to √(16*5) = 4√5. Then, multiply: 5 * 4√5 = 20√5.

Front

What is the simplified form of √300?

Back

The simplified form of √300 is √(100*3) = √100 * √3 = 10√3.

Front

What is the process to simplify 6√90?

Back

To simplify 6√90, first simplify √90 to √(9*10) = 3√10. Then, multiply: 6 * 3√10 = 18√10.