No. It should be pretty easy for you to answer that for yourself,
if you're willing to think for a minute or two.
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The nearest whole number would be 3. The square root of 8 is approximately 2.82842712474619
8
The square root of 8 is irrational and real.
Because its square root is not a whole number. The nearest ones are 7² = 49 and 8² = 64.
It can't be expressed as a whole number. The square root of two is irrational, and the product of an irrational number and a rational number is also irrational. So 8*sqrt(2) is irrational.