Simplifying Radicals

Front

What is a radical?

Back

A radical is a symbol (√) that represents the root of a number, typically 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: √48

Back

4√3

Front

Simplify: √45

Back

3√5

Front

Simplify: 10√20

Back

20√5

Front

What is the simplified form of √140?

Back

2√35

Front

Simplify: √72

Back

6√2

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 are the steps to simplify a radical?

Back

1. Factor the number under the radical into its prime factors. 2. Identify pairs of factors. 3. Take one factor from each pair out of the radical.

Front

What is the simplified form of √100?

Back

10