Question

What is the simplest form of this quotient square root of 3x^12y^10 divided by 5x^6y^3

Answer 1

`x^(3)y^(3)\sqrt{((3)/(5))y}`

Explanation:

we have

`\sqrt{(3x^(12)y^(10))/(5x^(6)y^(3))}`

Rewrite the expression

we know that

`(3x^(12)y^(10))/(5x^(6)y^(3)) =((3)/(5))((x^(12))/(x^(6)))((y^(10))/(y^(3)))`

simplify

`((3)/(5))((x^(12))/(x^(6)))((y^(10))/(y^(3)))=((3)/(5))x^(6)y^(7)`

substitute

`\sqrt{((3)/(5))x^(6)y^(7)}=x^(3)y^(3)\sqrt{((3)/(5))y}`