ABC26GN1370 · Square Roots and Cube Roots
Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: · Marks: · Difficulty:
What should come in place of both the question marks in the equation $\frac{?}{\sqrt{128}}=\frac{\sqrt{162}}{?}$.
Answer
Explanation
$$\begin{aligned} & \text { Let } \frac{x}{\sqrt{128}}=\frac{\sqrt{162}}{x} \text {. Then, } x^{2}=\sqrt{128 \times 162}=\sqrt{64 \times 2 \times 18 \times 9} \\ & \quad=\sqrt{8^{2} \times 6^{2} \times 3^{2}}=8 \times 6 \times 3=144 . \\ & \therefore \quad x=\sqrt{144}=12 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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