Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Tags

CCSS.8.NS.A.1

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 √24

Back

2√6

Front

Simplify √16

Back

4

Front

Simplify √45

Back

3√5

Front

Simplify 2√24

Back

4√6

Front

Simplify √243

Back

9√3

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.

Tags

CCSS.6.EE.A.1

Front

What is the prime factorization of 24?

Back

2 × 2 × 2 × 3 or 2^3 × 3.

Front

How do you find the square root of a non-perfect square?

Back

Factor the number into its prime factors, simplify the radical by taking out pairs of factors.