Question

Which expression is equal to 3/√7?

A. 21/√7

B. 7/3 √7

C. 3 √7/7

D. 3 √7/49

Please help!

Answer 1

3/V7= 3*V7/ (V7*V7)= 3 V7/7
The answer is C

Answer 2

Answer:
`(3√(7))/(7)`

Explanation:

The given expression :
`(3)/(√(7))`

Here , the root presents in the denominator of the fraction.

In this situation, we need to rationalize the denominator i.e. we need to move the square root from the denominator to the numerator of the fraction.

For that we multiply
`√(7)` to the numerator and denominator of the above expression.

we get
`(3)/(√(7))*(√(7))/(√(7))`

`=(3√(7))/(7)` [Since
`√(7)*√(7)=7` ]

Hence, the correct answer is
`(3√(7))/(7)` .