Question

Simplify. 7√50x^15y^21 Assume x and y are nonnegative.

A.5 x7

y10 2xy −−− √ B.35 x7 y10 2x y2 −−−− √ C.35 x7 y10 xy −− √ D.35 x7 y10 2xy −−− √

Answer 1

B

Explanation:

I also got 35x^7y^10√2xy

:)

Answer 2

Given expression is
`7 \sqrt{50x^(15)y^(21)}` where x and y are non negative.

Now we have to simplify this to find the correct matching choice.

`7 \sqrt{50x^(15)y^(21)}`

`=7 \sqrt{25*2x^(15)y^(21)}`

`=7 \sqrt{25*2x^(14)*xy^(20)*y}`

`=7*5x^(7)y^(10) √(2*x*y)`

`=35x^(7)y^(10) √(2xy)`

Which best matches with choice D.

Hence final answer is
`35x^(7)y^(10) √(2xy)` .