ABC26GN1339 · Square Roots and Cube Roots
Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: · Marks: · Difficulty:
$\left(\sqrt{\frac{225}{729}}-\sqrt{\frac{25}{144}}\right) \div \sqrt{\frac{16}{81}}=$ ?
(a)$\frac{1}{48}$
(b)$\frac{5}{48}$
(c)$\frac{5}{16}$
(d)None of these
Answer
Explanation
Given exp. $$\begin{aligned} & =\left(\frac{\sqrt{225}}{\sqrt{729}}-\frac{\sqrt{25}}{\sqrt{144}}\right) \div \frac{\sqrt{16}}{\sqrt{81}} \\ & =\left(\frac{15}{27}-\frac{5}{12}\right) \div \frac{4}{9}=\left(\frac{15}{108} \times \frac{9}{4}\right)=\frac{5}{16} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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