100 points because I really need the answer to this soon Simplify the expression \sqrt(9x^(3))/(4y^(2)). Show your work

Question

100 points because I really need the answer to this soon

Simplify the expression
`\sqrt(9x^(3))/(4y^(2))`. Show your work

Answer 1

`\bold{H \: e \: y \: o \: !}`

__________________

`\mathtt{\sqrt{(9x^3)/(4y^2)}}`

__________________

Apply radical rule:
`\mathtt{=\sqrt{(a)/(b)}} \: = \: \mathtt{\sqrt{(a)/(b)}},` assuming
`\mathtt{a \geq 0, \: b \: \leq 0}`

`\mathtt{=\sqrt{(9x^3)/(4y^2)}}`

__________________

Simplify:
`\mathtt{√(9x^3)} \: : \: \mathtt{3x√(x)}}`

`\mathtt{=\sqrt{(3x√(x))/(4y^2)}}`

__________________

Simplify:
`\mathtt{√(4y^2)} \: : \: \mathtt{2y}`

`\mathtt{(3x√(x))/(2y)}`

Hope It Helps!

A n s w e r e d : - ᴀᴅʀɪᴀɴɴᴏɪʀ