Simplifying 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*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 √(x^2)?

Back

√(x^2) = |x|, the absolute value of x.

Front

What is the cube root of 27?

Back

3

Front

How do you simplify √(a^2*b)?

Back

√(a^2*b) = a√b, where a is non-negative.

Front

What is the simplified form of √(50)?

Back

5√2

Front

How do you simplify ∛(x^3)?

Back

∛(x^3) = x.

Front

What is the simplified form of √(12x^2)?

Back

2x√3.

Front

How do you simplify √(a^4)?

Back

√(a^4) = a^2.