Question

qn from ch number system ​

Answer 1

Answer:

answer of this equation is (a )

Answer 2

Answer:

$(a) \sqrt{5} + \sqrt{2} + 5 \sqrt{11}$

Step-by-step explanation:

$sol {}^{n}$

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

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

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

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

$= \sqrt{5} \times 1 + \sqrt{2} \times 1 + 5 \sqrt{11}$

$= \sqrt{5} + \sqrt{2} + 5 \sqrt{11}$