Operations with Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent the root of a number, most commonly the square root.

Front

How do you simplify √a * √b?

Back

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

Front

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

Back

The simplified form is |a|, which is the absolute value of a.

Front

What is the process to simplify √(m/n)?

Back

√(m/n) = √m / √n, provided n is not zero.

Front

How do you combine like radicals?

Back

Like radicals can be combined by adding or subtracting their coefficients.

Front

What is the simplified form of √8?

Back

√8 = 2√2.

Front

What is the simplified form of √18?

Back

√18 = 3√2.

Front

What is the simplified form of √150?

Back

√150 = 5√6.

Front

What is the result of √(a^2b)?

Back

The result is a√b, assuming a is non-negative.

Front

How do you rationalize the denominator of 1/√a?

Back

Multiply the numerator and denominator by √a to get √a/a.