anonymous
  • anonymous
Will Medal Which of the following is equal to the square root of the cube root of 5? 5 to the power of 1 over 3 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 3 over 2
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
AbdullahM
  • AbdullahM
Hi
anonymous
  • anonymous
hi i need help quick

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AbdullahM
  • AbdullahM
Hint: \(\sf\Huge \sqrt[x]{y}=y^{\frac{1}{x}}\)
anonymous
  • anonymous
so a
AbdullahM
  • AbdullahM
Your question is: \(\sf\Huge \sqrt[2]{\sqrt[3]{5}}=?\)
anonymous
  • anonymous
no its square root thing then a 3 then another squareroot thing inside the other with the 3 on top of it with a 5 inside that one
anonymous
  • anonymous
so yes without the 2
AbdullahM
  • AbdullahM
Could you take a screenshot of it?
anonymous
  • anonymous
its the same thing without the 2
AbdullahM
  • AbdullahM
Like this? \(\sf\Huge\sqrt[3]{5}=?\)
AbdullahM
  • AbdullahM
anonymous
  • anonymous
i cant
anonymous
  • anonymous
just add a square root thing on top of the 3
anonymous
  • anonymous
\[\sqrt{3\sqrt{5}}\]
anonymous
  • anonymous
@AbdullahM r u there
AbdullahM
  • AbdullahM
Btw, \(\sf\Huge\sqrt{x} = \sqrt[2]{x}\) There is no difference.
anonymous
  • anonymous
ok srry
anonymous
  • anonymous
soncan u help me plz
AbdullahM
  • AbdullahM
\(\color{blue}{\text{Originally Posted by}}\) @AbdullahM Your question is: \(\sf\Huge \sqrt[2]{\sqrt[3]{5}}=?\) \(\color{blue}{\text{End of Quote}}\) What is \(\sf\Large\sqrt[3]{5}\) using my hint above.
anonymous
  • anonymous
1.709
AbdullahM
  • AbdullahM
\(\color{blue}{\text{Originally Posted by}}\) @AbdullahM Hint: \(\sf\Huge \sqrt[x]{y}=y^{\frac{1}{x}}\) \(\color{blue}{\text{End of Quote}}\) No, we don't want it in decimal. Use this hint ^^^
anonymous
  • anonymous
5 1/3
anonymous
  • anonymous
anonymous
  • anonymous
AbdullahM
  • AbdullahM
correct
AbdullahM
  • AbdullahM
now we have: \(\sf\Huge \sqrt[2]{5^{\frac{1}{3}}}\)
AbdullahM
  • AbdullahM
change the remaining squareroot and what do we get?
anonymous
  • anonymous
anonymous
  • anonymous
5 1/3 1/2
anonymous
  • anonymous
5 1/3 1/2
AbdullahM
  • AbdullahM
great
AbdullahM
  • AbdullahM
so now we have \(\sf\Large (5^{\frac{1}{3}})^{\frac{1}{2}}=?\)
anonymous
  • anonymous
idk
anonymous
  • anonymous
now what @AbdullahM
anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
now what
AbdullahM
  • AbdullahM
Hint: \(\sf\Large (a^b)^c = a^{b\times c}\)
anonymous
  • anonymous
5 1/6 ?
AbdullahM
  • AbdullahM
correct and that's your answer
anonymous
  • anonymous
thanks
AbdullahM
  • AbdullahM
np :)

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