হলে
Created: 4 years ago |
Updated: 1 year ago
best des
a = √3 + √2
1/a = 1/(√3 + √2)
= {1(√3 - √2)}/{√3 + √2)(√3 - √2)}
= (√3 - √2)/{(√3)2 - (√2)2}
= (√3 - √2)/(2 - 1)
= √3 - √2
So, a3 + 1/a3
= (a + 1/a)3 - 3(a.1/a) (a + 1/a)
= (√3 + √2 + √3 - √2)3 - 3(√3 + √2 + √3 - √2)
= (2√3)3 - 3(2√3)
= 8*3√3 - 6√3
= 24√3 - 6√3
= 18√3
Md Azizur Rahman
Founder of Satt
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