Flag Algebra> greatest-integer...
question mark

Find The Greatest Integer Less Than Or Equal To (root 3+1)^8

a) 4251

b) 4215

c) 4521

d) 4125

PRAKHAR GUPTA , 11 Years ago
Grade 9
anser 1 Answers
Pratik Tibrewal

Last Activity: 11 Years ago

(root3+1)^8 = 8C0root3^8+ 8C1 root3^7 + 8C2 root3^6 + 8C3 root3^5 + 8C4 root3^4 + 8C5 root3^3 + 8C6 root3 ^2 + 8C7 root3 ^1 + 8C8
(root3-1)^8 = 8C0root3^8 - 8C1 root3^7 + 8C2 root3^6 - 8C3 root3^5 + 8C4 root3^4 - 8C5 root3^3 + 8C6 root3 ^2 - 8C7 root3 ^1 + 8C8
Add both the above equations:
(root3 + 1)^8 + (root3 - 1)^8 = 2*(8C0root3^8+ 8C2 root3^6+ 8C4 root3^4+ 8C6 root3 ^2+ 8C8)
= 2* ( 81 + 28*27 + 70*9 + 28*3 + 1)
= 2* (81 + 756 + 630 + 84 +1 )
= 2* ( 1552)
= 3204
So greatest integer less than or equal to is 3201

Thereis something wrong in your options

Thanks and Regards,
Pratik Tibrewal
askiitians faculty
BTech


star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments