Simplify Radical Expressions

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you simplify √(a^2)?

Back

√(a^2) simplifies to a, assuming a is non-negative.

Front

What is the product property of square roots?

Back

The product property states that √(a * b) = √a * √b.

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a / b) = √a / √b, where b ≠ 0.

Front

How do you simplify √(m^2n^2)?

Back

√(m^2n^2) simplifies to mn.

Front

What is the process to simplify √(xy)?

Back

You cannot simplify √(xy) further unless you know the values of x and y.

Front

What is the cube root of a number?

Back

The cube root of a number x is a number y such that y^3 = x.

Front

How do you simplify ∛(a^3)?

Back

∛(a^3) simplifies to a, assuming a is non-negative.

Front

What is the first step in simplifying radical expressions?

Back

The first step is to factor the expression under the radical into perfect squares or cubes.

Front

How do you simplify √(12)?

Back

√(12) simplifies to 2√3, since 12 = 4 * 3 and √4 = 2.