find the value of a and b a+b√15=√5+√3/√5-√3

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Solution

( √5 + √3) / ( √5 - √3) = a + b √15

Rationlize it

(√5 +√3) / (√5 - √3) * (√5 + √3) / (√5 + √3)
= (8 + 2√15 ) / 2
= 4 + √15

Now compare both sides.

Answer: a = 4 , b = 1

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Find the value of a and b when a+b√15=√15+√3/√5-√3

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