Question

Which choice is equivalent to the quotient shown here when x > 0?

98x³+√72x²
O A. TV₂
OB. √26x
7x
O C. 7
6
OD. √98x3 - 72x²

Answer 1

A.
`(7)/(6) √(x)`

Explanation:

Solution Given:

`\sqrt{98{x}^(3) } / \sqrt{72 {x}^(2) }`

Bye using indices formula

`√(x) / √(y) = \sqrt{ (x)/(y) }`

we get

`\sqrt{ \frac{98{x}^(3) }{72 {x}^(2) } }`

`\sqrt{ \frac{49 {x}^(3) }{ 36 {x}^(2) } }`

`\sqrt{ \frac{{7}^(2) {x}^(3 - 2) }{{6}^(2) } }`

`(7)/(6) √(x)`