what's the square root of 57?
Mathematics · High School · Tue Nov 03 2020
Answered on
The square root of 57 in mathematical radical form is written as √57.
The square root of 57 is a quantity (q) that when multiplied by itself will equal 57.
√57 = q × q = q2
Since 57 is not a perfect square, we can't use the formula above.
One solution is to calculate through approximation.
First step is to find the perfect square before and after 57.
49 is a perfect square before 57 and 64 is the perfect square after 57.
In the given data, we can say that √57 is somewhere between the bases of 49 and 64 which is 7 and 8.
√57 is greater than 7 but less than 8.
Subtract 57 and 49; 64 and 57; 49 and 64. The answer is 8 and 7 and 15 respectively.
Divide 8 by 15 and divide 7 by 15. Since the result is 0.5 and 0.4 respectively, we can say that the first and second number or the remainder of √57 is numbers 0.5 and 0.4. So the √57 is approximately 7.54.
Using the calculator, the square root of 57 is 7.5498344352707.
Or, √57 = 7.5498344352707