Question

If both a and b are rational numbers, find the values
of a and b in the following equation:
2 +3√5\
4+5√5 = a+b√5​

Answer 1

rationalise the dr.

we get

8-12√5-10√5-75/16-125

-(67+22√5)/-109

so a=67/109

b=22/109