Question

find the value of 1/√7 - √6​

Answer 1

$\huge\green{A}\red{N}\orange{S}\pink{W}{E}\blue{R}\\ \\ \frac{1}{\sqrt{7}-\sqrt{6} } \\ \\First\:we \:should \:rationalise \:the\: denominator\\ \\ So,\\ \\\frac{1}{\sqrt{7}-\sqrt{6}}\times\frac{\sqrt{7}+\sqrt{6}}{\sqrt{7}+\sqrt{6}} \\ \\\frac{\sqrt{7}+\sqrt{6}}{(\sqrt{7}-\sqrt{6})(\sqrt{7}+\sqrt{6})} \\ \\ We\:know,\\ \\(a+b)(a-b)=a^{2}-b^{2}\\ \\So,\frac{\sqrt{7}+\sqrt{6}}{\sqrt{7}^{2}-\sqrt{6}^{2} } \\ \\ \frac{\sqrt{7}+\sqrt{6}}{7-6} \\ \\ \sqrt{7}+\sqrt{6}\\ \\ FOLLOW\: AND\:MARK\:AS\:BRAINLIEST$