The Newton - Raphson method of successive approximations is easily implemented on a computer.
You make a guess, test it by squaring it and compare it with the original target.
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no, 28 has no whole square root; the square root of 49 is 7
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7 times the square root of 7
irrational
Square root of 49 = 7... Square root of 9 = 3... 3 x 7 = 21