Square Roots Worksheet With Answers

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Name:
S
R
QUARE
OOTS
Square Roots of Perfect Squares
√4
√25
√1
√9
√16
For √ ��, √
is called the radical and �� is called the radicand.
Two Main Properties for Square Roots
1. Multiplying two square roots is the same as multiplying the radicands then square rooting:
2. Dividing two square roots is the same as dividing the radicands then square rooting:
INSTRUCTIONS
Use property 1 (and maybe property 2) to rewrite each square root so that the radicand is as small as possible.
This is called “simplifying the radical” or “simplest radical form”.
Examples:
1. √ 200
2. 6 √ 45
3. √ 75
4. 5 √ 98
12
18
6. √
5. √
9
4
7. √ 2 ∙ √ 50
8. 4 √ 20 + 7 √ 8

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