Question

Write this expression so that its denominator, if any, is a positive integer. 2/(3+sqrt(7))

Answer 1

Answer:

The Answer is 3 - sqrt7

Step-by-step explanation:

2/3 + sqrt7   the starting equation

You multiply it by the conjugate which is 3 - sqrt7

= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7)  the equation after you multiply by 3 - sqrt7

(3 + sqrt7) (3 - sqrt7) = 2

= 2(3 - sqrt7) / 2    the equation after you simplify (3 + sqrt7) (3 - sqrt7)

Divide out the 2's

= 3 - sqrt7/1    the equation after you divide out the 2's

= 3 - sqrt7  is THE ANSWER