how many irrational terms are there in the expansion of (x^1/2+y^1/8)^100
how many irrational terms are there in the expansion of (x^1/2+y^1/8)^100
Rishab , 11 Years ago
Grade
Algebra> binomial...
1 Answers
Pratik Tibrewal
Last Activity: 11 Years ago
(r+1)th term will be equal to : 100Cr x^(r/2) y^((100-r)/8)
For rational term: r/2 and (100-r)/8 should be integer,
so, r = 4, 12, 20,...92,100 will give the rational terms.
Its an A.P with first term 4, common difference: 8, and last term = 100.
hence number of terms: 100 = 4 + (n-1)8 which gives n = 13,
total terms will be 100+1 = 101;
so number of irrational terms = 101-13= 88
Thanks and Regards,
Pratik Tibrewal,
askiitians faculty,
BTech, IITG
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on algebra
Can we divide two vectors? If this is possible then how?
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available
Last Activity: 1 Year ago
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available
Last Activity: 1 Year ago
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available
Last Activity: 2 Years ago