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Is -3 a real number rational irrational integer whole or a natural number?
It is a real rational negative integer number whose value is -3
1.231241251261271. is an irrational number?
No, it is rational. Numbers whose decimal digits either stop or repeat can be written as a fraction and so are rational.
Find two irrational numbers whose product is a rational number?
root 2 * root 2 = 2
How are irrational numbers being used in the world?
There are very many uses for irrational numbers. A square, whose sides are a rational number, will have a diagonal of irrational length. The diagonals of most rectangles, with rational sides, will be irrational. The circumference and area of a circle (or ellipse) is related to pi, an irrational number. In the same way that pi is central to geometry, another irrational number, e, is fundamental to advanced calculus.
If you take the square root of an irrational number.Will it be irrational too?
Certainly. Otherwise, there would be a rational number whose square was an irrational number; that is not possible. To show this, let p/q be any rational number, where p and q are integers. Then, the square of p/q is (p^2)/(q^2). Since p^2 and q^2 must both be integers, their quotient is, by definition, a rational number. Thus, the square of every rational number is itself rational.
