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.

Front

Simplify: √200

Back

10√2

Front

Simplify: 2√24

Back

4√6

Front

Simplify: √169

Back

13

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 24?

Back

2^3 × 3

Front

How do you simplify √(a*b)?

Back

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

Front

What is the simplified form of √(50)?

Back

5√2

Front

What is the simplified form of √(72)?

Back

6√2