Question

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

Answer 1

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
`(\pi ^(2) )/(5)` ≈ 9.6/5 = 1.92

Explanation:

`(√(2\pi ))/(√(5)) * (√(5 ))/(√(5))` =
`(√(10) \pi )/(5)`