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

Simplify: √200

Back

10√2

Front

Simplify: √243

Back

9√3

Front

Simplify: √45

Back

3√5

Front

Simplify: √125

Back

5√5

Front

Simplify: √96

Back

4√6

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a whole number that, when multiplied by itself, gives the perfect square.

Front

What is the prime factorization of 200?

Back

200 = 2^3 × 5^2.

Front

What is the prime factorization of 243?

Back

243 = 3^5.