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Is 3 + root 2 raise to the power 2 rational or irrational pls give step by step explanation​

Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p></p><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><img align="absmiddle" alt="(3+\sqrt{2} )^{2}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%283%2B%5Csqrt%7B2%7D%20%29%5E%7B2%7D" title="(3+\sqrt{2} )^{2}"/>=<img align="absmiddle" alt="3^{2} +(2*3*\sqrt{2} )+ (\sqrt{2})^{2} = 9+6\sqrt{2} +2" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=3%5E%7B2%7D%20%2B%282%2A3%2A%5Csqrt%7B2%7D%20%29%2B%20%28%5Csqrt%7B2%7D%29%5E%7B2%7D%20%3D%209%2B6%5Csqrt%7B2%7D%20%2B2" title="3^{2} +(2*3*\sqrt{2} )+ (\sqrt{2})^{2} = 9+6\sqrt{2} +2"/> </p><p>               =11+<img align="absmiddle" alt="6\sqrt{2\\}" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=6%5Csqrt%7B2%5C%5C%7D" title="6\sqrt{2\\}"/></p><p>hence <a href="https://interviewquestions.tuteehub.com/tag/irrational-1051616" style="font-weight:bold;" target="_blank" title="Click to know more about IRRATIONAL">IRRATIONAL</a> <a href="https://interviewquestions.tuteehub.com/tag/number-582134" style="font-weight:bold;" target="_blank" title="Click to know more about NUMBER">NUMBER</a></p></body></html>


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