Question

if √7+√5/√7-√5=a+b√35 then the value of a and b (hint : the answer is a=6,b=1) pls. solve the question step by step​

Answer 1

Step-by-step explanation:

√7+√5/√7-√5

multiply and divide by √7+√5

=√7+√5/√7-√5×√7+√5/√7+√5

=(√7+√5)²/(√7)²-(√5)²

=((√7)²+2(√7)(√5)+(√5)²)/7-5

=(7+2√35+5)/2

=(12+2√35)/2

=2(6+√35)/2

=6+√35

comparing with RHS = a+b√35

Then,

a=6 , b=1