TS EAMCET · Maths · Binomial Theorem
The greatest integer less than or equal to \((\sqrt{3}+2)^5\) is
- A 721
- B 722
- C 723
- D 724
Answer & Solution
Correct Answer
(C) 723
Step-by-step Solution
Detailed explanation
Let \((2+\sqrt{3})^5=Y+F\) \([\because Y\) is integer, \(F\) is fraction] \[ \because \quad 2-\sqrt{3} < 1 \Rightarrow(2-\sqrt{3})^5 < 1 \] Let \(\quad(2-\sqrt{3})^5=F^{\prime}\)…
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