Question

PLEASE SOLVE QUESTION 13 AND 14
DONT STEAL THE POINTS ​

Answer 1

See below for solution.

Explanation:

`Q13)`
`(√(11) - √(5) )/(√(11)+√(5) )` =
`x - y√(55)`

LHS :-

=
`(√(11) - √(5) (√(11)-√(5)) )/(√(11)+√(5) (√(11)-√(5)) )`

=
`(11-2√(55)+5 )/(11 - 5)`

=
`(16-2√(55) )/(6)`

=
`(2(8-√(55)) )/(2(3))`

=
`(8-√(55) )/(3)`

=> x = 8/3 and y = 1/3

=> Option B

`Q14)`
`(4)/(216^(-2/3) )` +
`(1)/(256^(-3/4) )` +
`(2)/(243^(-1/5) )`

= 4 x (∛216)² + (
`\sqrt[4]256}`)³ + 2 x (
`\sqrt[5]{243}`)

= 4 x 36 + 64 + 2 x 3

= 144 + 64 +6

= 144 + 70

= 214