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3 √ 512 . . . = 8 13 - Mathematics

Fill in the Blanks

\[\sqrt[3]{\frac{512}{. . .}} = \frac{8}{13}\]

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Solution

\[13 \times 13 \times 13 = 2197\] 

∵ \[\sqrt[3]{\frac{512}{{13}^3}} = \frac{\sqrt[3]{8^3}}{\sqrt[3]{{13}^3}} = \frac{8}{13}\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.4 | Q 9.9 | Page 30
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