Question

If both a and b are rational number find the values of a and b of the following equation:-
√5+√3 /√5-√3=a+b√15​

Answer 1

Answer:

Comparing LHS and RHS we get,

a=4 & b=2

Step-by-step explanation:

(√5+√3)/(√5-√3)=a+b√15

=>(√5)²-(√3)²=a+b√15

=>(5-3)²+2(√5×√3)=a+b√15

=>2²+2√15=a+b√15

=>4+2√15=a+b√15