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Is the square root of 2.56 rational or irrational?
The square root of 2.56 is rational. This is because 2.56 can be expressed as 256/100, which simplifies to 64/25. The square root of 64 is 8 and the square root of 25 is 5, so the square root of 2.56 is 8/5, which is a rational number.
Is 6.45 rational or irrational?
6.45 is the ratio of 645 to 100 ... nice and rational.
Is the square root of 102 an irrational number?
Yes, 102 isn't a square number (1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144) so the square root of 102 will keept going forever and is irrational.
What is a square root of a fraction that is rational?
If you are expected to calculate it without a calculator then the first step is to write the fraction as a ratio - a top heavy one if necessary. You will find that the numerator and denominator of the rational fraction are both perfect square numbers. Then the square root of the ratio is the ratio of the square roots.For example, to find the square root of 11.11... recurring.You know that, since it is a recurring decimal, the number is rational.In ratio form, this number is 100/9 and sosqrt(11.11...) = sqrt(100/9) = sqrt(100)/sqrt(9) = 10/3 = 3.33... recurring.
Is -155.23333333 rational or irrational number?
It's rational. It is, in fact, -15523333333 / 100 000 000.
