Question

!!!!!!!!! BRAILNIEST!!!!!!!!!+Thanks

FULL SOLUTION.
AND ANSWER.
PLEASE HELP

Answer 1

HEYA USER !!

⤵HERE IS UR ANSWER --

GIVEN ::-

a = 3-√5/3+√5

now rationalize its denominator,,

= (3-√5/3+√5)*(3-√5/3-√5)

= (3-√5)^2 / (3)^2 - (√5)^2

= (3)^2 + (√5)^2 - 2*3*√5 / 9 - 5

= 9 + 5 - 6√5 / 4

= 14 - 6√5 / 4

= 2(7 - 3√5) / 4

= 7-3√5 / 2

b = 3+√5/3-√5

now rationalize its denominator,,

= (3+√5/3-√5)*(3+√5/3+√5)

= (3+√5)^2 / (3)^2 - (√5)^2

= (3)^2 + (√5)^2 + 2*3*√5 / 9 - 5

= 9 + 5 + 6√5 / 4

= 14 + 6√5 / 4

= 2(7 + 3√5) / 4

= 7+3√5 / 2

✔Now , a^2 - b^2 ,,

= (7-3√5/2)^2 - (7+3√5/2)^2

= 49+45-42√5 / 4 - (49+45+42√5 / 4)

= (49+45-42√5-49-45-42√5) / 4

= - 84√5 / 4

= - 21√5......

HOPE IT HELPS.....☺✌

Answer 2

Here is the solution.