#I do not understand how it went from √2 3√4 5√8 to 30√2^15 . 4^5.8
halcyon mulch
tender frostBOT
halcyon mulch
I don't understand how they simplified it
halcyon mulch
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crisp hedge
like, they think of it as
sqrt(2) × 6root(4) × 30root(8)
then they make roots the same
15root(sqrt(2^15)) × 5root(6root(4^5)) × 30root(8)
30root(2^15) × 30root(4^5) × 30root(8)
summer birch
I don't understand how they simplified it
you can write a square root as a fractional power, so the 3rd root is just 4^(1/3)
you can do that for the 8 alone, then the 3rd root with the 4 and 8 combined, then the square root with the 2, 4, and 8
because its multiplication, you can distribute the exponents and use exponent rules to simplify
finally, all the numbers are powers of 2, so rewrite each as 2 to a power and simplify again
halcyon mulch
like, they think of it as
sqrt(2) × 6root(4) × 30root(8)
How does that work??
halcyon mulch
i'm still so confused
halcyon mulch
you can do that for the 8 alone, then the 3rd root with the 4 and 8 combined, th...
Could you write it in paper? I think i woud understand it alot more if there was a writing
tame wren
Roots split over multiplication. So, you can write:
√[2] √[³√[4]] √[³√[⁵√[8]]]
By splitting the ³√ first, then the √ last
Of course, you really should be able to think of ³√ as an exponent of 1/3
halcyon mulch
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