Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents 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 16?

Back

4

Front

How do you simplify √80?

Back

√80 = √(16 * 5) = 4√5.

Front

What is the simplified form of √72?

Back

√72 = √(36 * 2) = 6√2.

Front

What is the simplified form of -5√75?

Back

-5√75 = -5√(25 * 3) = -25√3.

Front

How do you simplify √24?

Back

√24 = √(4 * 6) = 2√6.

Front

What is the simplified form of √300?

Back

√300 = √(100 * 3) = 10√3.

Front

What is the product of two square roots, √a * √b?

Back

√a * √b = √(a * b).

Front

What is the relationship between perfect squares and radicals?

Back

Perfect squares are numbers that can be expressed as the square of an integer, and their square roots are whole numbers.