1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T4be,{"@context":"https://schema.org","@type":"QAPage","name":"If x, y are rational numbers and 5 + 11 3 - 2 11 = x + y 11 . The val…","url":"https://vidyalelo.com/practice-question/if-x-y-are-rational-numbers-and5-sqrt-11-3-2sqrt-11-x-ysqrt-11-the-values-of-x-and-y-are-252696","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Surds And Indices","mainEntity":{"@type":"Question","name":"If x, y are rational numbers and 5 + 11 3 - 2 11 = x + y 11 . The val…","text":"If x, y are rational numbers and 5 + 11 3 - 2 11 = x + y 11 . The values of x and y are","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option D. x = - 3725,\\,y = - 1335. Answer & Solution Answer: Option D Solution: & 5 + 11 3 - 2 11 = x + y 11 & ( 5 + 11 ) ( 3 + 2 11 ) ( 3 - 2 11 ) ( 3 + 2 11 ) = x + y 11 & 15 + 10 11 + 3 11 + 229 - 44 = x + y 11 & 37 - 13 11 - 35 = x + y 11 & - 3735 + ( - 13 ) 11 35 = x + y 11 & Comparing both side & x = - 3735…"}}}1d:T420,

Answer & Solution

Answer: Option D

Solution:

$$\eqalign{ & \frac{{5 + \sqrt {11} }}{{3 - 2\sqrt {11} }} = x + y\sqrt {11} \cr & \frac{{\le