Question

Find the square root by factor 
21904

Answer 1

`√(21904) =148`
see the attachment

Answer 2

`21904|2\\10952|2\\.\ 5476|2\\.\ 2738|2\\.\ 1369|37\\.\ \ \ \ 37|37\\.\ \ \ \ \ \ 1|\\\\21904=2*2*2*2*37*37=2^4*37^2\\\\√(21904)=√(2^4*37^2)=√(2^4)*√(37^2)=2^2*37=4*37=148`




`√(21904)=√(4*5476)=2√(4*1369)=2*2\sqrt37*37}=4*37=148`