ABC26GN1395 · Square Roots and Cube Roots
Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: · Marks: · Difficulty:
The value of $\frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}}$ is
(a)$\frac{3}{4}$
(b)$1 \frac{1}{3}$
(c)$1 \frac{7}{9}$
(d)$1 \frac{3}{4}$
Answer
Explanation
$$\begin{aligned} \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} & =\frac{\sqrt{16 \times 5}-\sqrt{16 \times 7}}{\sqrt{9 \times 5}-\sqrt{9 \times 7}} \\ & =\frac{4 \sqrt{5}-4 \sqrt{7}}{3 \sqrt{5}-3 \sqrt{7}}=\frac{4(\sqrt{5}-\sqrt{7})}{3(\sqrt{5}-\sqrt{7})}=\frac{4}{3}=1 \frac{1}{3} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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