Question

( rationalise the denominator ) Find the values of the rational numbers a and b if a + b = √15

Answer 1

hey there here is your answer

rationalising the denominator

(√5+√3)(√5+√3)/(√5-√3)(√5+√3) = a+b√15

=> 5+3+2√15/5-3 = a+b√15

=> 8+2√15 /2 = a+b√15

=>2(4+√15)/2 = a+b√15

=> 4+√15=a+b√15

on comparing, we get

a= 4 and b = 1

$hope \: it \: helps \: you$