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# Why are all square roots not irrational numbers?

Wiki User

2017-10-03 00:04:36

Because some of them are squares of rational numbers. So their square roots are the rational numbers.Thus if x is rational, then the square roots of x2, which are -x and +x are both rational.

Wiki User

2017-09-14 18:08:45
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Wiki User

2017-10-03 00:04:36

because some of them simplify by being the "perfect" squares of smaller numbers. So √225 is not irrational because 225 = 15*15, so √225 = 15 which is not irrational

Wiki User

2017-09-11 23:44:17

If you square a rational number (for example, 4/3, which has the square 16/9), then when you take the square root of the result you will of course get your original rational number back.