Question

Simplify 6/3√2-2√3 pls help

Answer 1

$\large{\underline{\sf{\purple{Given-}}}}$

$\frac{6}{3 \sqrt{2} - 2 \sqrt{3} }$

$\large{\underline{\sf{\blue{To \: Find-}}}}$

$\sf{Ans \: Of \: Simplification}$

$\large{\underline{\sf{\red{Solution-}}}}$

$\sf{⇢ \frac{6}{3 \sqrt{2} - 2 \sqrt{3} \times \: \frac{3 \sqrt{2 + 2 \sqrt{3} } }{3 \sqrt{2 + 2 \sqrt{3} } } } }$

$\sf{⇢ \frac{6(3 \sqrt{2 + 2 \sqrt{3)} } }{6 \times 3 - 6 \times 2} }$

$\sf{⇢ \frac{6(3 \sqrt{2 \: + \: 2 \sqrt{3)} } }{18 - 12} }$

$\sf{⇢\frac{\cancel{18 \sqrt{2} -12 \sqrt{3} }}{\cancel{6}}}$

$\boxed{\sf\green{⇢3 \sqrt{2 \: + \: 2 \sqrt{3} } }}$