Question

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

Answer 1

Answer:

Option (B)

Step-by-step explanation:

The given expression is,

$\sqrt{22x^6}\div\sqrt{11x^4}$

We can rewrite this expression as,

$\frac{\sqrt{22x^6}}{\sqrt{11x^4} }$

Solving it further,

$\frac{\sqrt{22x^6}}{\sqrt{11x^4} }=\frac{\sqrt{22(x^3)^2} }{\sqrt{11(x^2)^2} }$ [Since $x^3\times x^3=x^6$ and $x^{2}\times x^{2}=x^4$]

         $=\sqrt{\frac{22(x^3)^2}{11(x^2)^2} }$ [Since $\frac{\sqrt{a} }{\sqrt{b} }=\sqrt{\frac{a}{b} }$]

         $=\frac{x^3}{x^2}\sqrt{\frac{22}{11} }$

         $=x\sqrt{2}$

Therefore, quotient will be x√2.

Option (B) will be the correct option.