The value of \sqrt{7-\sqrt{7+\sqrt{7-\sqrt{7-...\infty}}} is:

Problems based on Numbers Test 2

Question : 1 of 40

Marks: +1, -0

The value of

√{7-√{7+√{7-√{7-...∞}}}}

is:

Solution:

Let

x=√{7-√{7+x}}

Squaring both sides,

x^2= {7-√{7+x}}

By using all the options one, by one only 2 satisfies.

(2)^2=7-√{7+2}

4=7-√9

4=7-3

4=4

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