The value of\sqrt{[6 +\sqrt{6 +\sqrt{(6 +...... upto\infty }] is equal to

RRB NTPC Mains or Stage 2 Model Paper 3 with solutions

Question : 19 of 120

Marks: +1, -0

The value of

√{[6 +√{6 +√{(6 +...... upto∞ }}]

is equal to

Solution:

√{[6 +{√{6 +√{(6 +...... ∞ }}]

y = √{6 +y}

y^2 = 6 + y

y^2 – y – 6 = 0

y = 3

y = – 2

(y can not be negative)

∴y = 3

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