Question

What is the square root of 18y over 36y to the third power? - I need to show work!

Answer 1

`\sqrt{(18y)/(36y^3)}=\sqrt{(18y)/(18y\cdot2y^2)}=\sqrt{(1)/(2y^2)}=(\sqrt1)/(√(2y^2))=(1)/(\sqrt2\cdot√(y^2))=(1)/(y\sqrt2)`


`(1)/(y\sqrt2)=(1)/(y\sqrt2)\cdot(\sqrt2)/(\sqrt2)=(\sqrt2)/(2y)`