SOLUTION: rationalize the denominator 3/4-sqrt7 This is what I did: 3*sqrt7 / 4-sqrt7*sqrt7 3sqrt7/-3 -sqrt7

Algebra ->  Radicals -> SOLUTION: rationalize the denominator 3/4-sqrt7 This is what I did: 3*sqrt7 / 4-sqrt7*sqrt7 3sqrt7/-3 -sqrt7      Log On


   

Question 190243: rationalize the denominator
3/4-sqrt7
This is what I did:
3*sqrt7 / 4-sqrt7*sqrt7
3sqrt7/-3
-sqrt7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%284+-+sqrt%287%29%29 Start with the given expression.


%283%284+%2B+sqrt%287%29%29%29%2F%28%284-sqrt%287%29%29%284%2Bsqrt%287%29%29%29 Multiply both the numerator and denominator by 4%2Bsqrt%287%29


%283%284+%2B+sqrt%287%29%29%29%2F%284%5E2+-+%28sqrt%287%29%29%5E2%29 FOIL the denominator (using the difference of squares)


%283%284%2Bsqrt%287%29%29%29%2F%2816-7%29 Square each term


%283%284%2Bsqrt%287%29%29%29%2F%289%29 Combine like terms.


%2812%2B3%2Asqrt%287%29%29%2F%289%29 Distribute



So 3%2F%284+-+sqrt%287%29%29=%2812%2B3sqrt%287%29%29%2F%289%29