Find the cube-roots of 3375.
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Finding prime factors of 3375:
33753=(3×3×3)×(5×5×5)3=3×5=15\sqrt[3]{3375}\\[1em] = \sqrt[3]{(3 \times 3 \times 3)\times (5 \times 5 \times 5)}\\[1em] = 3 \times 5\\[1em] = 1533375=3(3×3×3)×(5×5×5)=3×5=15
Hence, 33753=15\sqrt[3]{3375} = 1533375=15
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