Question

Simplify the following radical expression
√y^3/9x^2y^7

Answer 1

`\sqrt{(y^3)/(9x^2y^7)}=\sqrt{(1)/(3^2x^2y^4)}=\sqrt{(1)/(3^2x^2(y^2)^2)}=(\sqrt1)/(√(3^2x^2(y^2)^2))\\\\=(1)/(√(3^3)\cdot√(x^2)\cdot√((y^2)^2))=(1)/(3xy^2)\\\\Used:\\\\\sqrt{(a)/(b)}=(√(a))/(√(b))\\\\√(a\cdot b)=√(a)\cdot√(b)\\\\√(a^2)=a`