hlep me to slove this question..
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nayra2:
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We have,
√18-6√5 = √a - √b
Square both sides,
(√18-6√5)^2 = (√a - √b)^2
⇒ 18 - 6√5 = a + b - 2√ab
⇒ 10 + 8 - 2 (3√5) = a + b - 2√ab
⇒ 10 + 8 - 2 (√45) = a + b - 2√ab
Comparing rational and irrational parts from both sides, we get,
a+b=18. (Proved)
√18-6√5 = √a - √b
Square both sides,
(√18-6√5)^2 = (√a - √b)^2
⇒ 18 - 6√5 = a + b - 2√ab
⇒ 10 + 8 - 2 (3√5) = a + b - 2√ab
⇒ 10 + 8 - 2 (√45) = a + b - 2√ab
Comparing rational and irrational parts from both sides, we get,
a+b=18. (Proved)
Fine now?
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God. I should've done this yesterday. Was tired. Sorry for delay.
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