Find the least numbers which must be subtracted from each of the following numbers so as to get perfect squares and also find the square roots of the perfect squares. i) 365 ii) 850 iii) 3142 iv) 1850 v) 4230

Find the least numbers which must be subtracted from each of the follo

1.	Find the least numbers which must be subtracted from each of the following numbers so as to get perfect squares and also find the square roots of the perfect squares. i) 365 ii) 850 iii) 3142 iv) 1850 v) 4230
Answer» <html><body><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>Solution:</p><p></p><p>(i) 402</p><p></p><p>We <a href="https://interviewquestions.tuteehub.com/tag/know-534065" style="font-weight:bold;" target="_blank" title="Click to know more about KNOW">KNOW</a> that, if we <a href="https://interviewquestions.tuteehub.com/tag/subtract-1231765" style="font-weight:bold;" target="_blank" title="Click to know more about SUBTRACT">SUBTRACT</a> the remainder from the <a href="https://interviewquestions.tuteehub.com/tag/number-582134" style="font-weight:bold;" target="_blank" title="Click to know more about NUMBER">NUMBER</a>, we get a perfect square.</p><p></p><p>Here, we get the remainder <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>. Therefore 2 must be subtracted from 402 to get a perfect square.</p><p></p><p></p><p>\therefore402-2=400∴402−2=400</p><p></p><p>Hence, the square root of 400 is 20.</p><p></p></body></html>