Question

(2/√3√5-1/2√2+6√11)+(2/√3√5+3/2 √2-√11)​

Answer 1

Step-by-step explanation:

$sol {}^{n}$

$( \frac{2}{ \sqrt{3} \sqrt{5} } - \frac{1}{2 \sqrt{2} } + 6 \sqrt{11} ) + \frac{2}{ \sqrt{3} \sqrt{5} } + \frac{3}{2 \sqrt{2} } - \sqrt{11} )$

$= \frac{2}{ \sqrt{3} \sqrt{5}} - \frac{1}{2 \sqrt{2} } + 6 \sqrt{11} + \frac{2}{ \sqrt{3} \sqrt{5} } + \frac{3 }{2 \sqrt{2} } - \sqrt{11}$

$= \frac{4}{ \sqrt{3} \sqrt{5} } + \frac{2}{2 \sqrt{2} } + 5 \sqrt{11}$

$= \frac{4}{ \sqrt{15} } + \frac{2}{2 \sqrt{2} } + 5 \sqrt{11}$

$= \frac{4 \sqrt{15} }{15} + \frac{2 \sqrt{2} }{4} + 5 \sqrt{11}$

$\frac{4 \sqrt{15} }{15} + \frac{ \sqrt{2} }{2} + 5 \sqrt{11}$