Question

$\sqrt{6 + \sqrt{6 + \sqrt{6 + } } }$
how to solve it explain also ​

Answer 1

Answer:

3

Step-by-step explanation:

Let x = sqr(6sqrt(6sqrt(6... To infinity

Then on squaring both sides

x² = 6 + x because infinity never ends so nothing changed so we put original value

=> x² - x - 6 = 0

=> x² - 3x + 2x - 6 = 0

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

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

=> x - 3 = 0 or x + 2 = 0

=> x = 3, because x is positive

Hence x = 3

Answer 2

Answer:

x=3

Step-by-step explanation:

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