Question

If (√2+√3)= a+b√6, where a,b €Q, then a,b =​

Answer 1

Answer:

√2+√3=√5

a+b√6=√5

a+b=√5/√6

a=(√5/√6)-b ------ (i)

b=(√5/√6)-a ------ (ii)

now,

put the value of b in equation (i)

a=(√5/√6)-(√5/√6)-a

or a+a=0

or 2a=0

a=0

put the value of a in equation (i)

0=(√5/√6)-b

or b=√5/√6

a=0 and b=√5/√6