a = √6 + √5 হলে (a⁶ - 1)/a³ এর মান কত?
Solution
Correct Answer: Option D
a=√6+√5
.'.1/a=1/√6+√5
=√6−√5/(√6+√5)(√6−√5)
=√6−√5
.'.a−1/a=2√5
এখন, a6−1/a3
=a6/a3−1/a3
=a3−1/a3
=(a−1/a)3 +3.a.1a(a−1/a)
=(2√5)3 +3.a.1a(a−1a)
=(2√5)3 +3×2√5
=40√5 +6√5
=46√5
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