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CBSE Class 9 Answered

<div> <p class="MsoNormal"><span style="font-size: 14.0pt; line-height: 115%; font-family: &quot;Comic Sans MS&quot;;">If x = &radic;3 + 2&radic;2 and y = &radic;</span><span style="font-size: 14.0pt; line-height: 115%; font-family: &quot;Comic Sans MS&quot;; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">3 - 2&radic;2 then the value of x<sup>4</sup> + y<sup>4</sup> + 6 x<sup>2</sup>y<sup>2</sup> is </span></p> <p class="MsoNormal"><span style="font-size: 14.0pt; line-height: 115%; font-family: &quot;Comic Sans MS&quot;; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">(A)&nbsp;&nbsp; &nbsp;584</span></p> <p class="MsoNormal"><span style="font-size: 14.0pt; line-height: 115%; font-family: &quot;Comic Sans MS&quot;; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">(B)&nbsp;&nbsp;&nbsp; &nbsp;682</span></p> <p class="MsoNormal"><span style="font-size: 14.0pt; line-height: 115%; font-family: &quot;Comic Sans MS&quot;; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">(C)&nbsp;&nbsp;&nbsp; &nbsp;798</span></p> <p class="MsoNormal"><span style="font-size: 14.0pt; line-height: 115%; font-family: &quot;Comic Sans MS&quot;; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">(D)&nbsp;&nbsp;&nbsp; &nbsp;245</span><span style="font-size: 14.0pt; line-height: 115%; font-family: &quot;Comic Sans MS&quot;;"></span></p> </div>
Asked by gpnkumar0 | 29 Mar, 2017, 05:22: PM
Expert Answer
begin mathsize 16px style straight x equals square root of 3 plus 2 square root of 2 space space and space straight y equals square root of 3 minus 2 square root of 2
rightwards double arrow straight x squared equals open parentheses square root of 3 plus 2 square root of 2 close parentheses squared space space and space straight y squared equals open parentheses square root of 3 minus 2 square root of 2 close parentheses squared space
rightwards double arrow straight x squared equals 3 plus 8 plus 4 square root of 6 space space and space straight y squared equals 3 plus 8 minus 4 square root of 6 space
rightwards double arrow straight x squared equals 11 plus 4 square root of 6 space space and space straight y squared equals 11 minus 4 square root of 6 space
Now comma
straight x to the power of 4 plus straight y to the power of 4 plus 6 straight x squared straight y squared
equals left parenthesis straight x right parenthesis squared plus left parenthesis straight y right parenthesis squared plus 6 straight x squared straight y squared
equals left parenthesis 11 plus 4 square root of 6 right parenthesis squared plus left parenthesis 11 minus 4 square root of 6 right parenthesis squared plus 6 left parenthesis 11 plus 4 square root of 6 right parenthesis left parenthesis 11 minus 4 square root of 6 right parenthesis
equals 121 plus 88 square root of 6 plus 96 plus 121 minus 88 square root of 6 plus 96 plus 6 left square bracket 121 minus 96 right square bracket
equals 242 plus 192 plus 150
equals 584 end style
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