Radical Operations

Front

What is the product of √a and √b?

Back

√a * √b = √(a * b)

Front

How do you simplify √(a^2)?

Back

√(a^2) = |a| (the absolute value of a)

Front

What is the result of √(x^2) when x is negative?

Back

√(x^2) = -x when x < 0.

Front

What is the value of √0?

Back

√0 = 0.

Front

How do you simplify √(a/b)?

Back

√(a/b) = √a / √b, provided b ≠ 0.

Front

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

Back

√(x^2 * y^2) = |x| * |y|.

Front

What is the result of √(a) * √(a)?

Back

√(a) * √(a) = a.

Front

How do you simplify √(12)?

Back

√(12) = 2√3.

Front

What is the value of √(a^2 + b^2) when a = 3 and b = 4?

Back

√(3^2 + 4^2) = √(9 + 16) = √25 = 5.

Front

What is the simplified form of √(x) * √(x^3)?

Back

√(x) * √(x^3) = √(x^4) = x^2.