Question

13. If √18-6√5 = √a-√b, then prove that a+b=18.​

Answer 1

Answer:

√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)

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Step-by-step explanation: