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Why are so many square roots irrational?

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The perfect squares, 0, 1, 4, 9, 16, 25, … get farther and father apart pretty quickly. 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. read more

And so the square root of 2 cannot be written as a fraction. Irrational We call such numbers"irrational", not because they are crazy but because they cannot be written as a ratio (or fraction). read more

Guess what the square root of the irrational number is. For example, if your irrational number is 2, you might guess 1.2. Divide the initial irrational number by the guessed number. For example, 2 divided by 1.2 is 1.67. Add the resulting sum to the original guessed number. For example, 1.67 plus 1.2 is 2.87. Divide the new result by 2. read more

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