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vfiekz [6]
3 years ago
15

What are the real square roots of .0625

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Assuming you can't simply put the number inside a calculator: write the number as a fraction:


0.0625 = \frac{625}{10000}


Find the prime factorization both numerator and denominator:


\frac{625}{10000} = \frac{5^4}{2^45^4}


The square root halves the exponents, so the number becomes


\sqrt{\frac{625}{10000}} = \frac{5^2}{2^25^2} = \frac{25}{100} = 0.25

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