Question : The greatest of the following numbers $0.16,\sqrt{0.16},(0.16)^{2},0.04$ is:
Option 1: $0.16$
Option 2: $\sqrt{0.16}$
Option 3: $0.04$
Option 4: $(0.16)^2$
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Correct Answer: $\sqrt{0.16}$
Solution :
Let's simplify the given numbers:
(a) $0.16 = 0.1600$
(b) $\sqrt{0.16} = 0.4000$
(c) ${0.16}^2 = 0.0256$
(d) $0.04 = 0.0400$
It is clearly visible that $\sqrt{0.16}$ is the greatest of all.
Hence, the correct answer is $\sqrt{0.16}$.
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