Question

Square root of 80p^3

Answer 1

`Use:\\√(a^2)=a\\√(a\cdot b)=√(a)\cdot√(b)\\a^(n+m)=a^n\cdot a^m\\==============================\\√(80p^3)=\sqrt{16\cdot5p^(2+1)}=√(4^2\cdot5\cdot p^2\cdot p)=√(4^2p^2\cdot5p)\\\\=√(4^2p^2)\cdot√(5p)=√(4^2)\cdot√(p^2)\cdot√(5p)=4\cdot p\cdot√(5p)\\\\=\boxed{4p√(5p)}`