Question

Whats is square root of 96 in simplest radical form

Answer 1

`96|2\\48|2\\24|2\\12|2\\.\ 6|2\\.\ 3|3\\.\ 1|\\\\√(96)=√(2\cdot2\cdot2\cdot2\cdot2\cdot3)=√(2^2\cdot2^2\cdot2\cdot3)=√(2^2)\cdot√(2^2)\cdot√(2\cdot3)\\\\=2\cdot2\cdot\sqrt6=\boxed{4\sqrt6}\\\\used:\\√(a\cdot b)=√(a)\cdot√(b)\\√(a^2)=a\ for\ a\geq0`