If √(18225)=135, then the value of (√(182.25)+√(1.8225)+√(0.018225)+√(0.00018225)) is · ABC26GN1363
Subject: General Aptitude · Chapter: Square Roots and Cube Roots
If $\sqrt{18225}=135$, then the value of $(\sqrt{182.25}+\sqrt{1.8225}+\sqrt{0.018225}+\sqrt{0.00018225})$ is
(a)1.49985
(b)14.9985
(c)149.985
(d)1499.85
Answer
Explanation
$$\begin{aligned} & =\sqrt{\frac{18225}{10^{2}}}+\sqrt{\frac{18225}{10^{4}}}+\sqrt{\frac{18225}{10^{6}}}+\sqrt{\frac{18225}{10^{8}}} \\ & =\frac{\sqrt{18225}}{10}+\frac{\sqrt{18225}}{10^{2}}+\frac{\sqrt{18225}}{10^{3}}+\frac{\sqrt{18225}}{10^{4}} \\ & =\frac{135}{10}+\frac{135}{100}+\frac{135}{1000}+\frac{135}{10000} \\ & =13.5+1.35+0.135+0.0135=14.9985 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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