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