Question

The conjugate or the Rationalizing factor of 2√3 + 5√7is​

Answer 1

$The \:conjugate\: or\: the\: Rationalizing\\ factor\: of\: (2\sqrt{3}+ 5\sqrt{7})\\is\: \pink { (2\sqrt{3}- 5\sqrt{7})}$

$Product = (2\sqrt{3}+ 5\sqrt{7})\pink { (2\sqrt{3}- 5\sqrt{7})}$

$= (2\sqrt{3})^{2} - (5\sqrt{7})^{2} \\= 12 - 175\\= - 163 \: \blue { ( rational \: number )}$

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