Question

find the value of A and B if 2 root 5 - root 7 divided by 2 root 5 + root 7 = a - b root 35​

Answer 1

Answer:

a = 27/13 and b = 4/13

Step-by-step explanation:

2√5 - √7/ 2√5 + √7

Multiply numerator and denominator by 2√5 - √7

= (2√5 - √7)(2√5 - √7 / (2√5 + √7)(2√5 - √7)

= (2√5 - √7)²/ (2√5)² - (√7)²

= 20+7 - 4√35/13

= 27 - 4√35/13

= 27/13 - 4/13√35

But 27/13 - 4/13√35 = a - b√35

=> a = 27/13 and b = 4/13