Find the value of sqrt(6 + sqrt(6 + sqrt(6 + … infinity))).

A2

B3

C4

D6

Explanation

Let x = sqrt(6 + x) => x^2 = 6 + x => x^2 – x – 6 = 0 => (x – 3)(x + 2) = 0 => x = 3.

Exam Relevance

Topic: Algebra
Subtopic: Infinite Series

Submitted by: mcqstutor Team More Mathematics MCQs →