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 16?

Back

4

Front

How do you simplify √24?

Back

√24 = √(4×6) = √4 × √6 = 2√6.

Front

What is the product of √5 and √10?

Back

√5 × √10 = √(5×10) = √50 = 5√2.

Front

What is the simplified form of √300?

Back

√300 = √(100×3) = √100 × √3 = 10√3.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

List the first five perfect squares.

Back

0, 1, 4, 9, 16.

Front

How do you identify perfect square factors of a number?

Back

By finding integers whose squares divide the number evenly.

Front

What is the simplified form of √50?

Back

√50 = √(25×2) = √25 × √2 = 5√2.