Question

(5 + root7/ 5 - root7) + ( 5 - root7/ 5 + root7), find tge value of a + broot7

plssss..

help i need the answer i cant get it....​

Answer 1

Answer:

Step-by-step explanation:

[5 + √7 / 5 - √7 ] + [5 - √7 / 5 + √7]

//Taking LCM

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

We know that

(a + b)² + (a - b)² = 2(a² + b²)

(a + b)(a - b) = a² - b²

=> 2(25 + 7) / 25 - 7

=> 2 * 32 / 18

=> 32/9

=> 32/9 + 0√7

a = 32/9, b = 0