Simplifying Square Roots

Front

What is a square root?

Back

A square root of a number x is a number y such that y² = x. For example, the square root of 16 is 4, since 4² = 16.

Front

What is the square root of 25?

Back

The square root of 25 is 5, since 5² = 25.

Front

How do you simplify √a²?

Back

√a² simplifies to |a|, which is the absolute value of a.

Front

What is the simplified form of √36?

Back

The simplified form of √36 is 6.

Front

How do you simplify √(ab)?

Back

√(ab) can be simplified to √a * √b, provided a and b are non-negative.

Front

What is the simplified form of √(4 * 9)?

Back

The simplified form of √(4 * 9) is √4 * √9 = 2 * 3 = 6.

Front

What is the square root of 0?

Back

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

Front

How do you simplify √(x²y)?

Back

√(x²y) simplifies to |x|√y.

Front

What is the square root of a negative number?

Back

The square root of a negative number is not a real number; it is an imaginary number. For example, √(-1) = i.

Front

What is the simplified form of √(50)?

Back

The simplified form of √(50) is 5√2.