Question

7 + root 5 upon 7 minus root 5 minus minus 7 minus root 5 upon 7 + root 5
is equals to​

Answer 1

$\huge\bf\mathscr\pink{Your\: Answer}$

7√5/11

step-by-step explanation:

We have to find the value of,

(7 + √5/7- √5 )- (7-√5/7+√5)

Taking the L.C.M of denominators,

= ${(7+root5)}^{2}$ - ${(7-root5)}^{2}$ / (7+√5)(7-√5)

expanding the terms,

we get,

= (49+ 14√5 + 25) - ( 49- 14√5 + 25) / 49-5

= 49 - 49 + 14√5 + 14√5 + 25 - 25 / 44

= 28√5/44

= 14√5/22

= 7√5/11