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4th root of 40,000?

 May 20, 2014

Best Answer 

 #1
avatar+3502 
+8

14.1421356 is the answer

 May 20, 2014
 #1
avatar+3502 
+8
Best Answer

14.1421356 is the answer

zegroes May 20, 2014
 #2
avatar+118706 
+5

The forth root is a power of a quarter.

40000(14)=14.1421356237309505

Zegroes, you need to show people how you get your answers or else they learn nothing!

 May 20, 2014
 #3
avatar+26397 
+7

the forth root of 40000?

 

Latex code:

 \\=\sqrt[2]{\sqrt[2]{40000}}\qquad 40000 = 4 * 100 * 100=2*2*100*100=2^2*100^2\\\\
=\sqrt[2]{\sqrt[2]{2^2*100^2}}\\\\
=\sqrt[2]{\sqrt[2]{2^2}\times\sqrt[2]{100^2}}\\\\
=\sqrt[2]{2*100}\qquad 2*100= 2 * 10 * 10=2*10^2
=\sqrt[2]{2*10^2}\\\\
=\sqrt[2]{2}\times\sqrt[2]{10^2}}\\\\
=\sqrt2*10\\\\ 
=10\sqrt2

 

 May 21, 2014

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