Question

determine a and b, if √7 + √5 / √7 - √5 - √7 - √5 / √7 + √5
= a + √35 b.

Answer 1

Answer:

a=0 and b=2

Step-by-step explanation:

(√7 + √5 / √7 - √5) - (√7 - √5 / √7 + √5 )= a + √35 b.

taking LCM.

(√7+√5)(√7+√5)-(√7-√5)(√7-√5)/(√7-√5)(√7+√5)= a + √35 b.

multiply eq.

(√7+√5+√7-√5)(√7+√5-√7+√5)/7-5=a+√35 b

(2√7)(2√5)/2=a+√35 b

2√7*5=a+√35 b

2√35 = a+√35 b

a=0 and b=2

Answer 2

Heya _____

Solution ______

First rationalize the LHS ____

(√7+√5)(√7+√5) -(√7-√5)+√7-√5) / (√7-√5) (√7+√5) = a+√35b

Multiplying equation ___

(√7+√5-√7√5 )/ 7-5 = a+√35b

(2√7) (2√5)/2 = a+√35b

2√7*5 = a+√35b

a = 0 _____ b = 2 ____

Thank you