Radical Expressions

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. For example, √x or ∛(x+1).

Front

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b, provided a and b are non-negative.

Front

What is the square root of 16?

Back

4

Front

How do you simplify √(x²)?

Back

√(x²) = |x|, which means the absolute value of x.

Front

What is the product of two square roots?

Back

√a * √b = √(a*b) for non-negative a and b.

Front

Simplify: √(36x²)

Back

6|x|.

Front

What is the square root of a fraction?

Back

√(a/b) = √a / √b, provided a and b are non-negative.

Front

Simplify: √(25/9)

Back

5/3.

Front

What is the principle of simplifying radicals?

Back

To simplify radicals, factor out perfect squares (or cubes) from under the radical.

Front

Simplify: √(48)

Back

4√3.