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# Operations with Square Roots Vocabulary PowerPoint PPT Presentation

Operations with Square Roots Vocabulary

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Operations with Square Roots

Vocabulary

A square root symbol, , is called a radical symbol. An expression containing a radical symbol is called a radical expression. The value under a radical symbol is called the radicand.

You can use the Distributive Property to combine like terms in radical expressions.

Simplify.

Combine like terms.

Simplify.

Commutative Property

Combine like terms.

Simplify.

–3 11 + 2 11

((– 3 + 2) 11 = – 11

Simplify.

– 14 + 4 15+ 14

–√14 + √14 + 4 √15= (–1 + 1) √14 + 4√15

= 4√15

Simplify.

Simplify.

Simplify.

√5 • √20

√5 • 20 = √100

=10

Simplify.

√2 • 2√2

2√2 • 2 = 2√4

= 2 • 2

= 4

Simplify.

Method A

Method B

Simplify.

√180

=

√180

√36 • 5

=

√36 • √5

Possible solution:

= 6 5

Simplify.

Find perfect square factors of the radicand.

Simplify.

Combine like terms.

Simplify.

Find perfect square factors of the radicand.

Simplify.

Combine like terms.

Simplify.

5√3 – √27

5√3 – √9 • 3 = 5√3 – 3√3

= 2√3

Simplify.

2√24 + 6√54

2√4 · 6 + 6√9 · 6 = 4√6 + 18√6

= 22√6