Square root of 8 = 2.82842712
It is clear from the value that it doesn't lie between 7 and 9.
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The square root of 50 is between 7 and 8
The square root of 49 is 7 and the square root of 64 is 8 so it has to be between 7 and 8 (and it's probably closer to 7)
The square root of 421.875 is 7.5 The square root of 7.5 is 2.7386128
7 & 8
The square root of eight is in between the square root of 7 and the square root of 9, which equals 3.