List questions from number-comparison

Published on 03 Aug 2017 - 19:48

992

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Prove $\frac{1}{\log_2\pi }+\frac{1}{\log_5\pi}>2$

Published on 12 Aug 2017 - 3:05

2.3k

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$\sin(40^\circ)<\sqrt{\frac{3}7}$

Published on 21 Aug 2017 - 14:02

196

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Which of the following is bigger (logarithms)

Published on 21 Aug 2017 - 19:28

304

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Proof: $\cot(7.5^\circ) = \sqrt2 +\sqrt3 + \sqrt 4 + \sqrt6$

Published on 25 Aug 2017 - 2:54

130

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Comparing big powers

Published on 24 Mar 2026 - 17:45

1.8k

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How can I compare $\log_2 3$ and $\log_3 5$ without using a calculator

Published on 05 Sep 2017 - 10:29

346

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Prove that ${e\over {\pi}}\lt{\sqrt3\over{2}}$ without using a calculator.

Published on 22 Sep 2017 - 11:49

32

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Confusion when comparing numbers with powers

Published on 28 Sep 2017 - 22:15

28

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sorting sets of triangulation

Published on 08 Oct 2017 - 14:54

122

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if C equals three fractions, what is the value of C?

Published on 24 Oct 2017 - 10:34

4k

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Prove $ \frac{1\cdot 3 \cdot 5 \cdot 7 \cdot \dots \cdot 2007}{2 \cdot 4 \cdot 6 \cdot \dots \cdot 2008}< \frac{1}{40} $

Published on 09 Nov 2017 - 15:21

1.2k

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Prove by contradiction (not using a calculator) that $\sqrt6 + \sqrt2 < \sqrt{15}$?

Published on 14 Nov 2017 - 15:13

220

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Compare two expressions in term of two variables

Published on 15 Nov 2017 - 23:29

5.9k

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Without using a calculator and logarithm, which of $100^{101} , 101^{100}$ is greater?

Published on 27 Nov 2017 - 19:38

List Question

Showing that $S=\frac{1}{100} + \frac{1}{101} + \dots + \frac{1}{1000} \gt 1$

Prove $\frac{1}{\log_2\pi }+\frac{1}{\log_5\pi}>2$

$\sin(40^\circ)<\sqrt{\frac{3}7}$

Which of the following is bigger (logarithms)

Proof: $\cot(7.5^\circ) = \sqrt2 +\sqrt3 + \sqrt 4 + \sqrt6$

Comparing big powers

How can I compare $\log_2 3$ and $\log_3 5$ without using a calculator

Prove that ${e\over {\pi}}\lt{\sqrt3\over{2}}$ without using a calculator.

Confusion when comparing numbers with powers

sorting sets of triangulation

if C equals three fractions, what is the value of C?

Prove $ \frac{1\cdot 3 \cdot 5 \cdot 7 \cdot \dots \cdot 2007}{2 \cdot 4 \cdot 6 \cdot \dots \cdot 2008}< \frac{1}{40} $

Prove by contradiction (not using a calculator) that $\sqrt6 + \sqrt2 < \sqrt{15}$?

Compare two expressions in term of two variables

Without using a calculator and logarithm, which of $100^{101} , 101^{100}$ is greater?

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