Question

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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}} \\
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Answer 1

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  {\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[3]{{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[3]{{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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