Given that √(13)=3.605 and √(130)=11.40, find the value of √(1.3)+√(1300)+√(0.013). · ABC26GN1365
Subject: General Aptitude · Chapter: Square Roots and Cube Roots
Given that $\sqrt{13}=3.605$ and $\sqrt{130}=11.40$, find the value of $\sqrt{1.3}+\sqrt{1300}+\sqrt{0.013}$.
(a)36.164
(b)36.304
(c)37.164
(d)37.304
Answer
Explanation
Given exp. $$\begin{aligned} & =\sqrt{1.30}+\sqrt{1300}+\sqrt{0.0130} \\ & =\sqrt{\frac{130}{100}}+\sqrt{13 \times 100}+\sqrt{\frac{130}{10000}} \\ & =\frac{\sqrt{130}}{10}+\sqrt{13} \times 10+\frac{\sqrt{130}}{100} \\ & =\frac{11.40}{10}+3.605 \times 10+\frac{11.40}{100} \\ & =1.14+36.05+0.114=37.304 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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