Question

Rationalize the denominator and simplify.
7
3

Answer 1

`(√(21))/(3)` is the answer.

Explanation:

To rationalize the denominator of
`\sqrt{(7)/(3)}` we will remove the square root or cube root from the denominator.

For which we multiply with the same value given in the denominator to numerator and denominator both.

`\sqrt{(7)/(3)}=(√(7) )/(√(3) )`

`(√(7))/(√(3))=(√(7))/(√(3))* (√(3))/(√(3))`

`=(√(7* 3))/((√(3))^2)`

`=(√(21))/(3)`

`(√(21))/(3)` is the rationalized form.

Therefore,
`(√(21))/(3)` will be the answer.