Question

(7+3√5÷3+√5)-(7-3√5÷3-√5) =a+b√5. Find the value of a and b

Answer 1

(7+3√5/3+√5)-(7-3√5/3-√5) =a+b√5

(7+√5+√5)-(7-√5-√5)=a+b√5

(7+2√5)-(7-2√5)=a+b√5

7+2√5-7+2√5=a+b√5

If we write it in order,

7-7+2√5+2√5=a+b√5

0+4√5=a+b√5

a=0

b=4