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khayal
khayal khayal
  • 25-08-2014
  • Mathematics
Answered

find the square root by factor 
21904 

Verified Answer :

Cpw Cpw
  • 25-08-2014

\(\sqrt{21904} =148\)
see the attachment



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Anonymous Anonymous
  • 25-08-2014

\(21904|2\\10952|2\\.\ 5476|2\\.\ 2738|2\\.\ 1369|37\\.\ \ \ \ 37|37\\.\ \ \ \ \ \ 1|\\\\21904=2\times2\times2\times2\times37\times37=2^4\times37^2\\\\\sqrt{21904}=\sqrt{2^4\times37^2}=\sqrt{2^4}\times\sqrt{37^2}=2^2\times37=4\times37=148\)



\(\sqrt{21904}=\sqrt{4\times5476}=2\sqrt{4\times1369}=2\times2\sqrt37\times37}=4\times37=148\)

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