By what least number should 675 be multiplied so as to obtain a perfect cube number ?

Answer:- 1

Explanation:-

Solution:

\begin{aligned} According to question \\ 5 | 675 \\ - - - - - - \\ 5 | 135 \\ - - - - - - \\ 5 | 27 \\ - - - - - - \\ 3 | 9 \\ - - - - - - \\ 3 | 3 \\ - - - - - - \\ | 1 \\ Factors are \\ = 5 \times 5 \times 3 \times 3 \times 3 \end{aligned}

$\eqalign{ & {\text{According to question}} \cr & {\text{5}}\,\,{\text{| 675}} \cr & - - - - - - \cr & 5\,\,|\,\,135 \cr & - - - - - - \cr & 5\,\,|\,\,27 \cr & - - - - - - \cr & 3\,\,|\,\,9 \cr & - - - - - - \cr & 3\,\,|\,\,3\quad \cr & - - - - - - \cr & \,\,\,\,\,|\,\,1 \cr & {\text{Factors are}} \cr & = \,5 \times 5 \times 3 \times 3 \times 3 \cr}$ ∴ It must be multiplied by 5 to make a perfect cube.

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∴ It must be multiplied by 5 to make a perfect cube. ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

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