Simplifying Radicals

Front

What is a radical in mathematics?

Back

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

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the square root of 24?

Back

√24 = 2√6.

Front

How do you simplify √150?

Back

√150 = √(25 * 6) = 5√6.

Front

What is the simplified form of 2√24?

Back

2√24 = 4√6.

Front

What is the process to simplify √a*b?

Back

Factor out perfect squares from under the radical: √(a*b) = √a * √b.

Front

What is the simplified form of √140?

Back

√140 = √(4 * 35) = 2√35.

Front

How do you simplify 5√80?

Back

5√80 = 5√(16 * 5) = 20√5.

Front

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

Back

√(x^2) = |x|.

Front

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

Back

√(a^2 * b) = a√b.