Operations with Radicals Check-in

Front

What is the simplified form of √300 + √75?

Back

15√3

Front

Simplify 4√75.

Back

20√3

Front

What is a radical expression?

Back

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) if a and b are non-negative.

Front

What is the product of two square roots?

Back

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

Front

What is the sum of two square roots?

Back

√a + √b cannot be simplified unless a and b are perfect squares.

Front

What is the definition of a perfect square?

Back

A number that can be expressed as the square of an integer.

Front

How do you simplify √(a^2)?

Back

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

Front

What is the process to rationalize the denominator?

Back

Multiply the numerator and denominator by a suitable radical to eliminate the radical in the denominator.

Front

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

Back

x√y, assuming x is non-negative.