7692757
Description
Mind Map by Alyxandria Hodgin, updated more than 1 year ago
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Created by Alyxandria Hodgin
about 7 years ago
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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
- √50 factors to √2*√25 because 2*25=50
- Find the factors of the number inside the
box (one of them should be a perfect
square
- Simplify the perfect
square (i.e. √25=5)
- Take the simplified square,
multiply it by the imperfect
square
- Like this: 5√2
- Like this: 5√2
- The outside number may be
positive or negative
- Finished simplification: ±5√2
- Finished simplification: ±5√2
- Algebra
Example
- √20x^2y^4
- Factor
20
- multiply x^2y^4 by 1/2
- xy^2
- xy^2
- Recombine with
variables outside
of the box
- ±2xy^2√5
- ±2xy^2√5
- Factor
20
- √20x^2y^4
- Factor the
Radical
- Adding/Subtracting
- Same-Root
- Add/Subtract the numbers
in front
- 2√3+5√3=7√3
- 2√3+5√3=7√3
- Add/Subtract the numbers
in front
- 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
- √54 factors to √9*√6, which equals 3√6
- √54+√24
- Factor until you have
the same root
- Same-Root
- Multiplying
- Multiply numbers
inside the roots
- √10*√50=√150
because 10*15=150
- √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
- √25=5, so the final
answer is 5√6
- √150 factored is
√25 and √6
- Multiply numbers
inside the roots
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