3*3=9 and 4*4=16. Therefore the square root of 13 is closer to 4 than to 3.
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The square root of 5 is closer to 2. 2 squared is 4 and 3 squared is 9. 4 is much closer to 5 than 9.
The square root of 3 falls between 1 and 2. (It is closer to 2 though)
a = -4
To 3 significant digits, it is about 7.74. If you want to get closer, 7.739509 is closer without going over, but not exact.
Example: The square root of 54 The square root of 54 is not an integer, since 54 is not a perfect square. The square root of 54 will be between 7 and 8, since 54 is between 49 and 64. Since 54 is closer to 49 than it is to 64, the square root will be closer to 7 than 8. I'd estimate the square root of 54 to be approximately 7.35 The actual square root is plus or minus 7.3484692 To simplify a square root, search for any factors greater than one that are perfect squares. Since 54 = 9 x 6, the square root of 54 equals the square root of 9 x 6 equals the square root of 9 times the square root of 6. The square root of 9 is 3, so the square root of 54 simplified is 3 times the square root of 6.