\(\sqrt {0.0025} \times \sqrt {2.25} \times \sqrt {0.0001} = ?\)
Solution
Correct Answer: Option B
Solution:
\(\sqrt {0.0025} \times \sqrt {2.25} \times \sqrt {0.0001} \) = \(\sqrt {{{(0.5\;)}^{2\;}}} \times \sqrt {{{(1.5\;)}^{2\;}}} \times \sqrt {{{(0.1\;)}^{2\;}}} \) = 0.05 \( \times \) 1.5 \( \times \) 0.01 = 0.00075
Alternative: \(\sqrt {\frac{{25}}{{10000}} \times \sqrt {\frac{{225}}{{100}}} \times \sqrt {\frac{1}{{10000}}} } = \frac{5}{{100}} \times \frac{{15}}{{10}} \times \frac{1}{{100}} = \frac{{75}}{{100000}}\) = 0.00075
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