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Write the prime factorization of the following numbers and hence find their square roots.(i) 7744 (ii) 9604 (iii) 5929 (iv) 7056 |
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Answer» (i) 7744 7744 = 22 × 22 × 22 × 112 \(\sqrt{7744}\) = 2 x 2 x 2 x 11 = 88 (ii) 9604 9604 = 22 × 72 × 72 \(\sqrt{9604}\) = 2 x 7 x 7 = 98 (iii) 5929 5929 = 112 × 72 \(\sqrt{5929}\) = 112 x 72 = 77 (iv) 7056 7056 = 22 × 22 × 72 × 32 \(\sqrt{7056}\) = 2 x 2 x 7 x 3 =84 |
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