Which number is larger between $\frac{\pi}{15}$ and $\frac{\sqrt{3}}{\sqrt{75}}$ ?

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Answer 1 · 2014-10-30T17:07:14

By $sqrt{75}=sqrt{5^2cdot3}=sqrt{5^2}cdot sqrt{3}=5sqrt{3}$ ,

${sqrt{3}}/{sqrt{75}}=sqrt{3}/{5sqrt{3}}=1/5=3/15$ .

Since $pi approx 3.14$ ,

$sqrt{3}/sqrt{75}=3/15 le pi/15$ .

I hope that this was helpful.

Which number is larger between \frac{\pi}{15}\frac{\pi}{15} and \frac{\sqrt{3}}{\sqrt{75}}\frac{\sqrt{3}}{\sqrt{75}}?