SOLUTION: Rationalize the denominator: 7/(7 - (square root of)7) a) (square root of)7 b) 7 + (square root of)7 c) (7 + (square root of)7)/6 d) (7 + (square root of)7/42 e) None of the

Algebra ->  Square-cubic-other-roots -> SOLUTION: Rationalize the denominator: 7/(7 - (square root of)7) a) (square root of)7 b) 7 + (square root of)7 c) (7 + (square root of)7)/6 d) (7 + (square root of)7/42 e) None of the      Log On


   

Question 64518: Rationalize the denominator: 7/(7 - (square root of)7)
a) (square root of)7
b) 7 + (square root of)7
c) (7 + (square root of)7)/6
d) (7 + (square root of)7/42
e) None of these
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator: 7/(7 - (square root of)7)
=[7*{7+SQRT(7)}]/[{7-SQRT(7)}{7+SQRT(7)}]
=[7*{7+SQRT(7)}]/[7^2-{SQRT(7)}^2]
=[7*{7+SQRT(7)}]/(49-7)
=[7+SQRT(7)]/6
a) (square root of)7
b) 7 + (square root of)7
c) (7 + (square root of)7)/6...............CORRECT
d) (7 + (square root of)7/42
e) None of these