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Which choice is equivalent to the quotient shown here when x > 0?A.2xB.2x2C.D.

Which Choice Is Equivalent To The Quotient Shown Here When X Gt 0A2xB2x2CD class=

Sagot :

Given

[tex]\sqrt{22x^6}\div \sqrt{11x^4}[/tex]

Solution

[tex]\begin{gathered} \frac{\sqrt{22x^6}}{\sqrt{11x^4}}=\sqrt{\frac{22x^6}{11x^4}} \\ \\ =\sqrt{\frac{22x^6}{11x^4}} \\ \\ =\sqrt{2x^2} \\ \\ =x\sqrt{2} \end{gathered}[/tex]

The final answerOption C

[tex]x\sqrt{2}[/tex]