U4 CW#4: Simplifying Radicals

Front

What is a radical?

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 16?

Back

4

Front

How do you simplify √48?

Back

√48 = √(16 * 3) = √16 * √3 = 4√3.

Front

What is the simplest form of √80?

Back

√80 = √(16 * 5) = √16 * √5 = 4√5.

Front

What is the square root of 100?

Back

10

Front

What is the square root of 9?

Back

3

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a whole number.

Front

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

Back

a, where a is a non-negative number.

Front

How do you simplify √(x^2 * y)?

Back

√(x^2 * y) = x√y.