IF√18 - 6 √5=√a-√b then prove a+b=18
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√a-√b=√(18-6√5)
Squaring both sides,
(√a-√b)²={√(18-6√5)}²
or, a+b-2√a√b=18-6√5
or, (a+b)-2√a√b=(15+3)-2.√15.√3
Comparing both sides we get,
a+b=15+3=18 (Proved)
Squaring both sides,
(√a-√b)²={√(18-6√5)}²
or, a+b-2√a√b=18-6√5
or, (a+b)-2√a√b=(15+3)-2.√15.√3
Comparing both sides we get,
a+b=15+3=18 (Proved)
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