Question

Which expression is equivalent to 2x√44x-2√11x^3 if x>0? 0a. 2x√11x 0b.6x√22x 0c.2x 0d.8x^2√11

Answer 1

For this case we have this:

`2x\sqrt[]{44x}-2\sqrt[]{11x^3}=2(x\sqrt[]{44x}-\sqrt[]{11x^3})`

And then we can do this:

`2(\sqrt[]{44x^3}-\sqrt[]{11x^3})=2(\sqrt[]{4\cdot11x^3}-\sqrt[]{11x^3})=2(2\sqrt[]{11x^3}-\sqrt[]{11x^3})`

and taking common factor we got:

`(4-2)(\sqrt[]{11x^3})=2\sqrt[]{11x^3}=2\sqrt[]{11x\cdot x^2}=2x\sqrt[]{11x}`