Question

Find the square root of 256 upon 676

Answer 1

$\fontsize{18}{10}{\textup{\textbf{The required square root is 8/13}}}$

Step-by-step explanation:

256=2*128=2*2*64=2*2*2*32=2*2*2*2*16=2*2*2*2*2*8=2*2*2*2*2*2*2*2

256=2^8 or (2^4)^2

676=2*338=2*2*169=2*2*13*13

      =(2*13)^2

Squre root of 256/676

=sqrt[{(2^4)^2}/(2*13)^2]

=2^4/(2*13)

=16/26

=8/13