1.

3. Find the square root using long division method: 3969 2601 .​

Answer» <html><body><p> </p><p>To find the square root of 3969 we will factorise it first</p><p></p><p><a href="https://interviewquestions.tuteehub.com/tag/prime-605748" style="font-weight:bold;" target="_blank" title="Click to know more about PRIME">PRIME</a> <a href="https://interviewquestions.tuteehub.com/tag/factorisation-458923" style="font-weight:bold;" target="_blank" title="Click to know more about FACTORISATION">FACTORISATION</a> of 3969</p><p>Here we have to find the prime <a href="https://interviewquestions.tuteehub.com/tag/factors-458933" style="font-weight:bold;" target="_blank" title="Click to know more about FACTORS">FACTORS</a> of 3969.</p><p></p><p>Divide 3969 by 3;</p><p></p><p>3969 ÷ 3 = 1323</p><p></p><p>Divide 1323 by 3</p><p></p><p>1323 ÷ 3 = 441</p><p></p><p>Divide 441 by 3</p><p></p><p>441 ÷ 3 = 147</p><p></p><p>Divide 147 by 3</p><p></p><p>147 ÷ 3 = 49</p><p></p><p>Divide 49 by 7</p><p></p><p>49 ÷ 7 = 7</p><p></p><p>Divide 7 by 7</p><p></p><p>7 ÷ 7 = 1</p><p></p><p>By prime factorisation, we know:</p><p></p><p>3969 =3 × 3 × 3 × 3 × 7 × 7</p><p></p><p>Here</p><p></p><p>After pairing the same prime factors, no <a href="https://interviewquestions.tuteehub.com/tag/factor-458892" style="font-weight:bold;" target="_blank" title="Click to know more about FACTOR">FACTOR</a> is left.</p><p></p><p>Therefore, 3969 is a perfect square of 3 × 3 × 7 = 63.</p><p></p><p>Answer</p><p></p><p>Hence The square root of 3969 is 63</p><p></p><p>Hence, √3969 = 63</p><p> </p><p><img align="absmiddle" alt="{\huge{\boxed{\mathcal{\red{ITZNOBITA}}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%7B%5Chuge%7B%5Cboxed%7B%5Cmathcal%7B%5Cred%7BITZNOBITA%7D%7D%7D%7D%7D" title="{\huge{\boxed{\mathcal{\red{ITZNOBITA}}}}}"/></p><p></p></body></html>


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