Question

The value of
$\sqrt{6 + \sqrt{6 + \sqrt{6 } } }$​ ......is

Answer 1

Step-by-step explanation:

2×3 +2×3+2×3=2×3×2×3=2×3=6 is answwr

Answer 2

Answer:

$\sqrt{6 \sqrt{6 \sqrt{6 \sqrt{6..... } } } } = x \\ \sqrt{6 + x } = x \\ squaring \: both \: sides..... \\ 6 + x = {x}^{2} \\ {x }^{2} - x - 6 = 0 \\ {x}^{2} - 3x + 2x - 6 = 0 \\ x(x - 3) + 2(x - 3) = 0 \\ (x + 2)(x - 3) = 0 \\ x = 3.....x = - 2 \\ hope \: this \: helps \: you \: plzz \: mark \: as \: brainliest....$