Question

Find the value of a and b
(√5-2/√5+2)-(√5+2/5-2)=a-b√5​

Answer 1

Step-by-step explanation:

answer of a and b is √5(b+8) and (-8√5-a)/√5

Answer 2

Answer:

a=0 and b=8

Step-by-step explanation:

I feel that you forgot to write √5-2 and wrote 5-2 in your question, so I corrected it.

Now a-b√5​=(√5-2/√5+2)-(√5+2/√5-2)

Taking LCM as (√5+2)(√5-2), we get the following:

(see attached file)

Now, a-b√5​= -8√5=0-8√5

∴ a=0 and b=8

(by comparing similar terms)