Find the real nth roots of x, if any. Give answers in simplest form

Question

0

668

3

1. n=6 , x= -64

2. n=3 , x= 128

3. n=10 , x=1024

4. n=7 , x= -8sqrt2 / 2187

Guest Jun 1, 2016

MaxWong · Answer 1 · 2016-06-02T01:29:14

1. $\sqrt[6]{64}=2$

2. $\sqrt[3]{128}=2^{\frac{7}{3}}$

3. $\sqrt[10]{1024}=2$

4. Wow here comes the hardest question

$\sqrt[7]{\frac{-8\sqrt2}{2187}}=\frac{((-2)^\frac{3}{7})(2^\frac{1}{14})}{3}=-\frac{\sqrt2}{3}$

Alan · Answer 2 · 2016-06-02T02:48:18

I think you've missed a minus sign in number 1 Max: x = -64