Question

Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}

Answer 1

Answer:

the exact answer is 1.98

if we rationalize denominator we get root 0f 10 times pi divided by 5

root of 10 is about 3.1 ($\pi$) so we have $\frac{\pi ^{2} }{5}$ ≈ 9.6/5 = 1.92

Step-by-step explanation:

$\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}$ = $\frac{\sqrt{10} \pi }{5}$