√6+√6+√6+… is equal to _____ - mathselab.com

√6+√6+√6+… is equal to _____

Question

√6+√6+√6+… is equal to ______

A. 2
B. 3
C. 4
D. 5


Answer: B

Solution:

Let √6+√6+√6+…. be x.

=> x =√6+x

=> x^2 = 6+x

=> x^2 – x – 6 = 0

=> (x-3) (x+2) = 0

=> x = 3

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