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:T4a7,{"@context":"https://schema.org","@type":"QAPage","name":"If 1 3 4 + 3 2 + 1 = a 3 4 + b 3 2 + c and a, b, c are rational numbe…","url":"https://vidyalelo.com/practice-question/if-frac-1-root-3-of-4-root-3-of-2-1-a-root-3-of-4-b-root-3-of-2-c-and-a-b-c-are-rational-95133","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, Algebra","mainEntity":{"@type":"Question","name":"If 1 3 4 + 3 2 + 1 = a 3 4 + b 3 2 + c and a, b, c are rational numbe…","text":"If 1 3 4 + 3 2 + 1 = a 3 4 + b 3 2 + c and a, b, c are rational numbers then a + b + c is equal to?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option A. 0. Answer & Solution Answer: Option A Solution: & 1 3 4 + 3 2 + 1 = a 3 4 + b 3 2 + c & 1 3 4 + 3 2 + 1 = 1 ( 2^1/3 )^2 + 2^1/3 + ( 1 )^2 & A^3 - B^3 = ( A - B ) ( A^2 + AB + B^2 ) & Put, A = 2^1/3 , B = 1 & ( 2^1/3 - 1 ) ( 2^1/3 - 1 ) ( ( 2^1/3 )^2 + 2^1/3 + ( 1 )^2 ) & ( 2^1/3 -…"}}}1d:T6b2,

Answer & Solution

Answer: Option A

Solution:

$$\eqalign{ & \frac{1}{{\root 3 \of 4 + \root 3 \of 2 + 1}} = a\root 3 \of 4 + b\root 3 \of 2 + c \cr & \Rightar