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# I am stumped?!

+5
120
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Find N ; n2/3 = 216             the answer is equal to =1296(root6)

What I need is HOW to get that. I find you useful I will rate five peperonies

#1
+77058
+5

n^(2/3)  = 216

Take each side to the 3/2 power

[n^(2/3)]^(3/2)   =  216 ^(3/2)

n   =  [ √ 216 ] ^3

n = [ √ (36 * 6) ] ^3

n = [ 6  √6 ] ^3

n = 6^3 * (√6)^3

n  =  216 * [√6 ]^2 * √6

n  =  216 * 6  * √6

n = 1296√6

I'll take those 5 pepperonies  !!!!

CPhill  Feb 26, 2017
Sort:

#1
+77058
+5

n^(2/3)  = 216

Take each side to the 3/2 power

[n^(2/3)]^(3/2)   =  216 ^(3/2)

n   =  [ √ 216 ] ^3

n = [ √ (36 * 6) ] ^3

n = [ 6  √6 ] ^3

n = 6^3 * (√6)^3

n  =  216 * [√6 ]^2 * √6

n  =  216 * 6  * √6

n = 1296√6

I'll take those 5 pepperonies  !!!!

CPhill  Feb 26, 2017

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