# Among the following, which is closest to <msqrt> 0.016 </msqrt> ? Among the following,

Among the following, which is closest to $\sqrt{0.016}$?
Among the following, which is closest in value to $\sqrt{0.016}$?
A. $0.4$
B. $0.04$
C. $0.2$
D. $0.02$
E. $0.13$
My Approach:
$\left(\frac{16}{1000}{\right)}^{\frac{1}{2}}=\left(\frac{4}{250}{\right)}^{\frac{1}{2}}=\frac{2}{5\cdot \sqrt{10}}=\frac{\sqrt{2}}{5\cdot \sqrt{5}}$
But I don't know how to reach to answer.
Thank You!
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engaliar0l
Though squaring each and checking works equally as well, here's another way to figure it out:
$\sqrt{0.016}=\frac{\sqrt{1000}}{\sqrt{1000}}\sqrt{0.016}=\frac{\sqrt{16}}{\sqrt{1000}}=\frac{4}{\sqrt{1000}}\approx \frac{4}{\sqrt{1024}}=\frac{4}{\sqrt{{2}^{10}}}=\frac{4}{{2}^{5}}=\frac{4}{32}=\frac{1}{8}=0.125$
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Carly Cannon
Just square:
${0.4}^{2}=0.16$
${0.04}^{2}=0.0016$
${0.2}^{2}=0.04$
${0.02}^{2}=0.0004$
${0.13}^{2}=0.0169$
Can you choose?