Question

answer the following and get 49+25 points.

Answer 1

i) (√11 - √7 )/ (√11 + √7)

Rationalising it

(√11 - √7 ) x (√11 - √7) / (√11 + √7) x (√11 - √7) = (11 + 7 - 2 √77)/4
= (18-2√77) /4

a = 9/2 and b = 1/2

ii) (4+3√5)/(4-3√5)

Rationalising,

(4+3√5) (4 + 3√5) / (4-3√5)(4+3√5) = (16 + 45 +24√5)/ - 29 = (61 + 24√5)/ -29


a = -61/29 and b = -24/29



iii) (√5 + √3) / (√5 - √3) = (√5 + √3)² / 2 = (5 + 3 + 2√15) / 2 = 4 + √15

a = 4 and b = 1

Answer 2

Hello Dear!!!

Here's your answer..

1) √11 - √7 / √11+√7

Multiply the numerator and denominator with √11-√7

(√11-√7)^2 / 11-7

11+7-2√11*7 / 4

18-2√77 / 4

a is 18/4

b is -2/4

_______________

2)4+3√5 / 4-3√5

multiply the denominator and numerator with 4+3√5

(4+3√5)^2 / 16 - 45

16+45+24√5 / -29

-61-24√5 / 29

a is -61/29

b is -24/29
 ______________________

3) √5+√3 / √5-√3

(√5+√3)^2 / 5-3

5+3+√30 / 2

8+√30 / 2

4+√15

a is 4 

b is 1