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7692757
Radicals (Simplify, Add/Subtract, Multiply)
Description
9th grade Math Mind Map on Radicals (Simplify, Add/Subtract, Multiply), created by Alyxandria Hodgin on 02/15/2017.
No tags specified
radicals
factoring
adding
subtracting
multiplying
simplifying
math 2
math
9th grade
Mind Map by
Alyxandria Hodgin
, updated more than 1 year ago
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Created by
Alyxandria Hodgin
over 7 years ago
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Resource summary
Radicals (Simplify, Add/Subtract, Multiply)
Simplifying
Factor the Radical
Find the factors of the number inside the box (one of them should be a perfect square
√50 factors to √2*√25 because 2*25=50
Simplify the perfect square (i.e. √25=5)
Take the simplified square, multiply it by the imperfect square
Like this: 5√2
The outside number may be positive or negative
Finished simplification: ±5√2
Algebra Example
√20x^2y^4
Factor 20
multiply x^2y^4 by 1/2
xy^2
Recombine with variables outside of the box
±2xy^2√5
Adding/Subtracting
Same-Root
Add/Subtract the numbers in front
2√3+5√3=7√3
Different Root
Factor until you have the same root
√54+√24
√54 factors to √9*√6, which equals 3√6
√24 factors to √4*√6, which equals 2√6
2√6+3√6=5√6
Multiplying
Multiply numbers inside the roots
√10*√50=√150 because 10*15=150
Factor the result
√150 factored is √25 and √6
Simplify
√25=5, so the final answer is 5√6
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