What is the value of sqrt(12 + sqrt(12 + sqrt(12 + …)))?

A3

B4

C5

D6

Explanation

Let x = sqrt(12 + x) => x^2 – x – 12 = 0 => (x – 4)(x + 3) = 0. Since x > 0, x = 4.

Exam Relevance

Topic: Algebra
Subtopic: Infinite Series

Submitted by: mcqstutor Team More Mathematics MCQs →