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Facts about Square Roots
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Facts about square roots
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Simplify a Square Root
• Steps:• Make a factor tree• Look for pairs• Circle on member of the pair• Cross out the other member of the pair• What is left over put in the box
Example:
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4 7
2 2 7
2 7
Example:
120
12 10
2 2
5
2 5
24 3
3 2 5
23 302
Example:
200
20 10
2 2
5
2
24 5
5 2 5
25 210
How do you know if you are right?
Square the outside and multiply by the inside
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You Try
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Check this out!
24232 We view the square root of two as a term like xSo, if you have one square root of two and you
add three square roots of two then you have four square roots of two
The Key is….
You must have the same value inside the square roots before you combine them
Counter Example
Do not combine. They are different!
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When adding or subtracting
• Check first to see if they are simplified
• See if the terms inside the square root symbols are the same
• Combine only the same terms
You can do it!
• Practice
• Practice
• Practice
