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Question Number 144460 by byaw last updated on 25/Jun/21

  If C=226k find the least  integal value of k that will  make C a perfect square

$$ \\ $$$$\mathrm{If}\:\mathrm{C}=\mathrm{226}{k}\:\mathrm{find}\:\mathrm{the}\:\mathrm{least} \\ $$$$\mathrm{integal}\:\mathrm{value}\:\mathrm{of}\:{k}\:\mathrm{that}\:\mathrm{will} \\ $$$$\mathrm{make}\:\mathrm{C}\:\mathrm{a}\:\mathrm{perfect}\:\mathrm{square} \\ $$

Answered by Rasheed.Sindhi last updated on 26/Jun/21

C=226k=2×113×k=2×113×2×113  k=2×113=226

$${C}=\mathrm{226}{k}=\mathrm{2}×\mathrm{113}×{k}=\mathrm{2}×\mathrm{113}×\mathrm{2}×\mathrm{113} \\ $$$${k}=\mathrm{2}×\mathrm{113}=\mathrm{226} \\ $$

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