Operations with Square Roots
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Operations with Square Roots Vocabulary PowerPoint PPT Presentation


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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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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.

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


Simplify.

The radicands are the same.

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.

Multiply the radicands under one radical symbol.


Simplify.

Multiply the radicands under one radical symbol.


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


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