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Mathematics

Find the cube-roots of 4096.

Cube & Cube Roots

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Answer

Finding prime factors of 4096:

Find the cube-roots of 4096. Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

40963=(2×2×2)×(2×2×2)×(2×2×2)×(2×2×2)3=2×2×2×2=16\sqrt[3]{4096}\\[1em] = \sqrt[3]{(2 \times 2 \times 2)\times (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times (2 \times 2 \times 2)}\\[1em] = 2 \times 2 \times 2 \times 2\\[1em] = 16

Hence, 40963=16\sqrt[3]{4096} = 16

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