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# ${\text{Q}}{\text{.Find out the cube root of 216}}{\text{.}} \\ {\text{A}}{\text{. 8}} \\ {\text{B}}{\text{. 4}} \\ {\text{C}}{\text{. 9}} \\ {\text{D}}{\text{. 6}} \\ \\$  ${\text{In mathematics a cube root of a number }}x\,{\text{ is number }}y\,{\text{such that }}{y^3} = x\,\,\,\,....\left( 1 \right) \\ {\text{now finding the cube root of the number by prime factorization}}{\text{.}} \\ {\text{from the equation one }} \\ {y^3} = 216 \\ y = \sqrt{{216}} \\ {\text{prime factors of are }} \\ {\text{216 = 2}} \times {\text{2}} \times {\text{2}} \times {\text{3}} \times {\text{3}} \times {\text{3}} \\ {\text{now assume three time repeating digits as one}}{\text{.}} \\ {\text{as here by assuming each three as one we will get 2and 3}}{\text{.}} \\ {\text{now we should multiply these numbers}}{\text{.}} \\ {\text{2}} \times {\text{3 = 6 }} \\ \sqrt{{216}} = 6 \\ {\text{which is the cube root of 216 as mentioned}}{\text{.}} \\ {\text{NOTE: whenever you come across this kind of question find out the prime factors of the given number}} \\ {\text{ and always assume the three time repeating digit as one and multiply them to get the cube root }} \\ {\text{ of the number }} \\$

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Cube Root  Cube Root of 729  Cube Root of 1728  Cube Root of 2197  Cube Root of 512  Cube Root of 343  Cube Root of 216  Cube Root of 64  Cube Root of 4  Cube Root of 9261  