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(3+√21) - √21 is a/ an _____ number. |
| Answer» <html><body><p><img align="absmiddle" alt="\textbf{Answer:-}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Ctextbf%7BAnswer%3A-%7D" title="\textbf{Answer:-}"/></p><p></p><p>Rational number</p><p></p><p>(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>+√21) - √21 is a/ an <strong><u>rational</u></strong> number.</p><p></p><p></p><p><strong><u>Solution</u></strong><strong><u>:</u></strong></p><p></p><p><img align="absmiddle" alt="= > (3 + \sqrt{21} ) - \sqrt{21}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%283%20%2B%20%20%5Csqrt%7B21%7D%20%29%20-%20%20%5Csqrt%7B21%7D%20" title="= > (3 + \sqrt{21} ) - \sqrt{21}"/><strong><u></u></strong></p><p></p><p><strong><u>Removing</u></strong><strong><u> </u></strong><strong><u>the</u></strong><strong><u> </u></strong><strong><u>brackets</u></strong><strong><u>:</u></strong></p><p></p><p><img align="absmiddle" alt="= > 3 + \sqrt{21} - \sqrt{21}" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=%20%3D%20%20%3E%203%20%2B%20%20%5Csqrt%7B21%7D%20%20-%20%20%5Csqrt%7B21%7D%20" title="= > 3 + \sqrt{21} - \sqrt{21}"/><strong><u></u></strong></p><p><img align="absmiddle" alt="= > 3" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=%20%3D%20%20%3E%203" title="= > 3"/><strong><u></u></strong></p><p></p><p>Now, 3 is a rational number <a href="https://interviewquestions.tuteehub.com/tag/since-644476" style="font-weight:bold;" target="_blank" title="Click to know more about SINCE">SINCE</a> it can be written in the form of p/q ,i.e.,3/1 where 3 and 1 are <a href="https://interviewquestions.tuteehub.com/tag/integers-17173" style="font-weight:bold;" target="_blank" title="Click to know more about INTEGERS">INTEGERS</a> and q,i.e.,1 is not <a href="https://interviewquestions.tuteehub.com/tag/zero-751093" style="font-weight:bold;" target="_blank" title="Click to know more about ZERO">ZERO</a>. </p></body></html> | |