How come square root of 2 times itself equals 2

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crazyrocketrz5z · Accepted Answer

Step 1There is no such thing as an infinite number. If you mean that the decimal expansion of&amp;nbsp;2&amp;nbsp;never ends, then you are right. But that also applies to the decimal expansion of&amp;nbsp;13; however, I suspect that you see no problem with the assertion that&amp;nbsp;3×13=1The fact that the decimal expansion of&amp;nbsp;2&amp;nbsp;never ends is something that concerns the specific way that we use to represent numbers, which was developed centuries after square roots started to be studied. It is not something about the number&amp;nbsp;2&amp;nbsp;itself, which is defined as the only real number greater than or equal to 0 whose square is 2.After having defined it this way, we can try to compute its decimal expansion. For instance,&amp;nbsp;12&amp;lt;2&amp;lt;22, and therefore&amp;nbsp;1&amp;lt;2&amp;lt;2. Furthermore,&amp;nbsp;(75)2&amp;lt;2&amp;lt;(85)2&amp;nbsp;and therefore&amp;nbsp;75&amp;lt;2&amp;lt;85(1.4&amp;lt;2&amp;lt;1.6)

How come square root of 2 times itself

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