Easy
1 point
ID: #27815
Question
a = √3 + √2 হলে, a³ + 3a + 3a⁻¹ + a⁻³ এর মান কত?
Options
1
8√2
Correct Answer
2
16√2
Correct Answer
3
18√3
Correct Answer
4
24√3
Correct Answer
Explanation
প্রদত্ত রাশি = a³ + 3a + 3/a + 1/a³ = (a + 1/a)³।
দেয়া আছে a = √3 + √2, তাহলে 1/a = √3 - √2।
a + 1/a = 2√3।
সুতরাং, (2√3)³ = 8 * 3√3 = 24√3।
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