Yes
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irrational
The square root of 50 is an irrational number because it can't be expressed as a fraction.
It is an irrational number in the form of 50 times the square root of 2
Yes. Any number is a square root of its square! So 50 is the square root of 50*50 = 2500
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 2500 and 4900. Thus a number such as square root(2738), which is 52.325901..., or square root(4677), which is 68.388595..., will do nicely. In this case make sure you check your answer because some numbers such as 3600 will lead to whole number (and non-irrational) answers.