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Operations with Square Roots Vocabulary

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Operations with Square Roots Vocabulary. radical symbol radical expression radicand. 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 .

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Presentation Transcript
slide1

Operations with Square Roots

Vocabulary

radical symbol

radical expression

radicand

slide2

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.

slide3

Simplify.

The radicands are the same.

Combine like terms.

slide4

Simplify.

Commutative Property

Combine like terms.

slide5

Simplify.

–3 11 + 2 11

((– 3 + 2) 11 = – 11

slide6

Simplify.

– 14 + 4 15+ 14

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

= 4√15

slide8

Simplify.

Multiply the radicands under one radical symbol.

slide9

Simplify.

Multiply the radicands under one radical symbol.

slide10

Simplify.

√5 • √20

√5 • 20 = √100

=10

slide11

Simplify.

√2 • 2√2

2√2 • 2 = 2√4

= 2 • 2

= 4

slide12

Simplify.

Method A

Method B

slide13

Simplify.

√180

=

√180

√36 • 5

=

√36 • √5

Possible solution:

= 6 5

slide14

Simplify.

Find perfect square factors of the radicand.

Simplify.

Combine like terms.

slide15

Simplify.

Find perfect square factors of the radicand.

Simplify.

Combine like terms.

slide16

Simplify.

5√3 – √27

5√3 – √9 • 3 = 5√3 – 3√3

= 2√3

slide17

Simplify.

2√24 + 6√54

2√4 · 6 + 6√9 · 6 = 4√6 + 18√6

= 22√6

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