Question

find the Value of a and b . ✓11-✓7/✓11+✓7 = a-b✓77.

Answer 1

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Answer 2

Answer:

     a = 9 / 2   ,    b = 1 / 2

Step-by-step explanation:

√11 - √7 / √11 + √7 = a - √77 b

LHS = √11 - √7 / √11 + √7

       = √11 - √7 / √11 + √7 × √11 - √7 / √11 - √7

= (√11 - √7)² / (√11)² - (√7)²

= (√11)² + (√7)² - 2×(√11)×(√7) / 11 - 7

= 11 + 7 - 2√77 / 4

= 18 - 2√77 / 4

= 18 / 4 - 2√77 / 4

= 9 / 2 - √77 / 2  --- (Compare with RHS)

9 / 2 - √77 / 2 = a - √77 b

a = 9 / 2   ,    b = 1 / 2