Simplifying 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

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 from under the radical sign.

Front

What is the square root of 16?

Back

4

Front

How do you simplify √a * √b?

Back

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

Front

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

Back

x, assuming x is non-negative.

Front

What is the product property of square roots?

Back

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

Front

What is the simplified form of √(36)?

Back

6

Front

How do you simplify 4√75?

Back

20√3

Front

What is the simplified form of √24?

Back

2√6

Front

How do you simplify 2√24?

Back

4√6