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The value of \(\sqrt {12 + \sqrt {12 + \sqrt {12 + \ldots } } }\) is
Let y = \(\sqrt {12 + \sqrt {12 + \sqrt {12 + \ldots } } }\)? y = \(\sqrt {12 +y }\)Squaring on both sidesy2 = 12 + yy2 - y - 12 = 0y2 - 4y + 3y - 12 = 0y(y - 4) + 3(y - 4) = 0(y - 4)(y + 3) = 0? y = 4 or y = -3The value of \(\sqrt {12 + \sqrt {12 + \sqrt {12 + \ldots } } }\) is 4.000
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