What is an irrational number between 8 and 8.1

Question

anonymous · Answer

An irrational number is a number which cannot be expressed as a fraction made of integers. These numbers generally have infinite decimals with no pattern to them whatsoever.

The easiest way, I think, to make an irrational number is to take the square root of a number between the squares of your parameters, in this case between 64 and 65.61.

amistre64 · Answer

sqrt of any number between 8^2 and 9^2

amistre64 · Answer

sqrt(70) is nice

amistre64 · Answer

hmm, better sqyare 8.1 to be safe ll

amistre64 · Answer

64  to 65.61

lets do sqrt(65.5)

aum · Answer

$$
8 < x < 8.1 \
8^2 < x^2 < 8.1^2 \
64 < x^2 < 65.61 \
\text{Let }x^2 = 65 \
x = \sqrt{65} \text{ is an irrational number between 8 and 8.1}
$$