(18 - 6 root5)is under whole square root.which is = root a - root b.prove that a+ b =18
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√(18-6√5) = √a + √b
Squaring both sides,
(18-6√5) = (√a + √b)²
⇒ (18-6√5) = a+b +2√a√b
Comparing rational and irrational parts from both sides, we get,
a+b=18. (Hence, proved)
Squaring both sides,
(18-6√5) = (√a + √b)²
⇒ (18-6√5) = a+b +2√a√b
Comparing rational and irrational parts from both sides, we get,
a+b=18. (Hence, proved)
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