By which smallest number should the following numbers be multiplied so that products are perfect cubes ? (1) 486 (ii) 8788 (iii) 1323 (iv) 3267
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Nuclear fission is the process of splitting apart nuclei (usually large nuclei). When large nuclei, such as uranium-235, fissions, energy is released. So much energy is released that there is a measurable decrease in mass, from the mass-energy equivalence. This means that some of the mass is converted to energy.
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Thus, the required smallest number that should be multiplied to 5184 so that product is a perfect cube is 9. And, The cube root of 5184 × 9 = 46656 is = 2 × 2 × 3 × 3 = 36. 6. Find the smallest number by which 8788 should be divided so that quotient is a perfect cube. Also, find the cube root of the quotient. Solution:
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