Question

Pls help meeeeeeee pls pls pls

Answer 1

D.
`(4x^(2) √(29))/(29)`

Explanation:

Given the expression:

`\frac{40x^(2) \sqrt{x^(12) } }{10x^(2) \sqrt{29x^(8) } }`

divide by the common factor to have;

`\frac{4\sqrt{x^(12) } }{\sqrt{29x^(8) } }` =
`\frac{4(x^(12)) ^{(1)/(2) } }{(29x^(8)) ^{(1)/(2) } }`

=
`(4x^(6) )/(√(29)x^(4) )`

=
`(4x^(2) )/(√(29) )`

Rationalize the denominator, we have;

`(4x^(2) )/(√(29) )` x
`(√(29) )/(√(29) )`

So that,

`(4x^(2) √(29) )/(29)`

Thus,

`\frac{40x^(2) \sqrt{x^(12) } }{10x^(2) \sqrt{29x^(8) } }` =
`(4x^(2) √(29) )/(29)`

The correct option is D.