Question

Answer me as soon as possible​

Answer 1

$\large{\underline{\underline{ \bf{⎆Question:-}}}}$

$\tt{ℚ . \:To \: rationalise : \frac{1}{3 + \sqrt{2} } }$

$\large{\underline{\underline{ \bf{☂ Solution:-}}}}$

$\longmapsto\tt{ \frac{1}{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} } }$

$\longmapsto\tt{ \frac{3 - \sqrt{2} }{(3 + \sqrt{2)(3 - \sqrt{2)} } } }$

$\longmapsto\tt{ \frac{3 - \sqrt{2} }{ {(3)}^{2} - {( \sqrt{2)} }^{2} } }$

$\longmapsto\tt{ \frac{3 - \sqrt{2} }{9 - 2} }$

$\longmapsto\tt{ \frac{3 - \sqrt{2} }{7} }$

$\longmapsto\tt{ \frac{3}{7} - \frac{ \sqrt{2} }{7} \: ( Answer) }$

$\large\underline{\overline{\mid{\bold{\red{ ✰ Formula \: used : }}\mid}}}$

$\small{\underbrace{\overbrace{\color{purple}{ ➥ \: {a}^{2} - {b}^{2} = (a + b)(a - b) }}}}$