Question

To rationalize the denominator of StartFraction 5 minus StartRoot 7 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction , you should multiply the expression by which fraction?

A. StartFraction 5 + StartRoot 7 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction
B. StartFraction 9 minus StartRoot 14 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction
C. StartFraction 9 + StartRoot 14 EndRoot Over 9 + StartRoot 14 EndRoot EndFraction
D. StartFraction StartRoot 14 EndRoot Over StartRoot 14 EndRoot EndFraction

Answer 1

c

Explanation:

Answer 2

`(C)(9+√(14) )/(9+√(14) )`

Explanation:

To rationalize the expression:

`(5-√(7) )/(9-√(14) )`

In order to rationalize any Surdic expression, what is needed is to multiply both the numerator and the denominator of the rational function by the conjugate of the denominator.

In the example above:

The denominator is:
`9-√(14)`

Its conjugate therefore is:
`9+√(14)`

Therefore, we multiply the fraction by the expression:

`(9+√(14) )/(9+√(14) )`