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Question
a
=
3
+
2
হলে
a
3
+
1
a
3
18
3
5
3
6
3
12
3
ANSWER : 1
Descrption
<p>a = √3 + √2</p> <p>1/a = 1/(√3 + √2)</p> <p> = {1(√3 - √2)}/{√3 + √2)(√3 - √2)}</p> <p> = (√3 - √2)/{(√3)<sup>2</sup> - (√2)<sup>2</sup>}</p> <p> = (√3 - √2)/(2 - 1)</p> <p> = √3 - √2</p> <p>So, a<sup>3</sup> + 1/a<sup>3</sup></p> <p> = (a + 1/a)<sup>3</sup> - 3(a.1/a) (a + 1/a)</p> <p> = (√3 + √2 + √3 - √2)<sup>3</sup> - 3(√3 + √2 + √3 - √2)</p> <p> = (2√3)<sup>3</sup> - 3(2√3)</p> <p> = 8*3√3 - 6√3</p> <p> = 24√3 - 6√3</p> <p> = 18√3</p> <p style = "text - align: justify;"> </p>
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