3*sqrt(27)=3^n

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3*sqrt(27)=3^n

what is n?

Guest Feb 20, 2015

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Best Answer

+23247

+8

If by "3*sqrt(27)", you mean the cube root of 27, xvxvxv did it correctly.

However, if by"3*sqrt(27)", you mean 3√(27), then:

3√(27) = 3√(9*3) = 3√(9)√(3) = 3*3√(3) = 9√(3)

To simplify 9√(3) = 3 ⁿ,

write 9√(3) with exponents: 3 ²*3 ^1/2 = 3 ^5/2 (add exponents)

So: 3 ^5/2 = 3 ⁿ ---> n = 5/2

geno3141 Feb 20, 2015

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+1832

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xvxvxv Feb 20, 2015

+23247

+8

Best Answer

If by "3*sqrt(27)", you mean the cube root of 27, xvxvxv did it correctly.

However, if by"3*sqrt(27)", you mean 3√(27), then:

3√(27) = 3√(9*3) = 3√(9)√(3) = 3*3√(3) = 9√(3)

To simplify 9√(3) = 3 ⁿ,

write 9√(3) with exponents: 3 ²*3 ^1/2 = 3 ^5/2 (add exponents)

So: 3 ^5/2 = 3 ⁿ ---> n = 5/2

geno3141 Feb 20, 2015

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