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

Operations with Square Roots

Vocabulary

radical symbol

radical expression

radicand


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.


Operations with square roots vocabulary

Simplify.

The radicands are the same.

Combine like terms.


Operations with square roots vocabulary

Simplify.

Commutative Property

Combine like terms.


Operations with square roots vocabulary

Simplify.

–3 11 + 2 11

((– 3 + 2) 11 = – 11


Operations with square roots vocabulary

Simplify.

– 14 + 4 15+ 14

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

= 4√15


Operations with square roots vocabulary

Simplify.

Multiply the radicands under one radical symbol.


Operations with square roots vocabulary

Simplify.

Multiply the radicands under one radical symbol.


Operations with square roots vocabulary

Simplify.

√5 • √20

√5 • 20 = √100

=10


Operations with square roots vocabulary

Simplify.

√2 • 2√2

2√2 • 2 = 2√4

= 2 • 2

= 4


Operations with square roots vocabulary

Simplify.

Method A

Method B


Operations with square roots vocabulary

Simplify.

√180

=

√180

√36 • 5

=

√36 • √5

Possible solution:

= 6 5


Operations with square roots vocabulary

Simplify.

Find perfect square factors of the radicand.

Simplify.

Combine like terms.


Operations with square roots vocabulary

Simplify.

Find perfect square factors of the radicand.

Simplify.

Combine like terms.


Operations with square roots vocabulary

Simplify.

5√3 – √27

5√3 – √9 • 3 = 5√3 – 3√3

= 2√3


Operations with square roots vocabulary

Simplify.

2√24 + 6√54

2√4 · 6 + 6√9 · 6 = 4√6 + 18√6

= 22√6


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