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:T4a5,{"@context":"https://schema.org","@type":"QAPage","name":"The value of 11 + 2 + 1 2 + 3 + 1 3 + 4 + 1 4 + 5 + 1 5 + 6 + 1 6 + 7…","url":"https://vidyalelo.com/practice-question/the-value-of-11-sqrt-2-1sqrt-2-sqrt-3-1sqrt-3-sqrt-4-1sqrt-4-sqrt-5-1sqrt-5-sqrt-252694","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":"The value of 11 + 2 + 1 2 + 3 + 1 3 + 4 + 1 4 + 5 + 1 5 + 6 + 1 6 + 7…","text":"The value of 11 + 2 + 1 2 + 3 + 1 3 + 4 + 1 4 + 5 + 1 5 + 6 + 1 6 + 7 + 1 7 + 8 + 1 8 + 9 is:","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option A. 2. Answer & Solution Answer: Option A Solution: & 11 + 2 + 1 2 + 3 + 1 3 + 4 + 1 4 + 5 + 1 5 + 6 + 1 6 + 7 + 1 7 + 8 + 1 8 + 9 & = 1 2 + 1 + 1 3 + 2 + 1 4 + 3 + 1 5 + 4 + 1 6 + 5 + 1 7 + 6 + 1 8 + 7 + 1 9 + 8 & After Rationalizing & = ( 2 - 1 ) + ( 3 - 2 ) + ( 4 - 3 ) + ( 5 - 4 ) +…"}}}1d:T57d,

Answer & Solution

Answer: Option A

Solution:

$$\eqalign{ & \frac{1}{{1 + \sqrt 2 }} + \frac{1}{{\sqrt 2 + \sqrt 3 }} + \frac{1}{{\sqrt 3 + \sqrt 4 }} + \frac{1}{{\sqrt 4