19 мая 2014 г. · In general, nonzero rational numbers have a rational square root iff their simplified denominator and numerator are perfect integer squares.

21 сент. 2022 г. · No, a square root of a whole number is either an integer or an irrational number. The irrationality of sqrt 2 was proved by the Greeks.

27 мар. 2017 г. · It's always true. Square root of any non perfect square positive integer is always irrational. Example: √2, √3, √27, √15, ...

22 июн. 2018 г. · The square root of every natural number is either a natural number or it is irrational. If n n is a perfect square, √n n is an integer.

5 нояб. 2013 г. · Therefore any rational number that is the square root of a natural number must be a natural number itself.

13 дек. 2022 г. · Yes. In fact, all integers that are not perfect squares (squares of integers) have irrational square roots. So, for example, √2 is irrational, ...

17 сент. 2016 г. · All square roots of natural numbers, other than of perfect squares, are irrational. Like all real numbers, irrational numbers can be expressed ...

23 нояб. 2019 г. · The answer is: No. More precisely, the square root of every positive whole number is either a whole number or an irrational number and never could be a ...

6 окт. 2023 г. · The square root of every natural number is either a natural number or it is irrational. If n is a perfect square, √n is an integer. Otherwise, ...

18 июл. 2016 г. · These are the only natural numbers that have rational square roots. All the rest have irrational square roots. That's why there are so many. The ...