Question

HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Option (B)

Explanation:

The given expression is,

`√(22x^6)/√(11x^4)`

We can rewrite this expression as,

`(√(22x^6))/(√(11x^4) )`

Solving it further,

`(√(22x^6))/(√(11x^4) )=(√(22(x^3)^2) )/(√(11(x^2)^2) )` [Since
`x^3* x^3=x^6` and
`x^(2)* x^(2)=x^4`]

`=\sqrt{(22(x^3)^2)/(11(x^2)^2) }` [Since
`(√(a) )/(√(b) )=\sqrt{(a)/(b) }`]

`=(x^3)/(x^2)\sqrt{(22)/(11) }`

`=x√(2)`

Therefore, quotient will be x√2.

Option (B) will be the correct option.