Question

simplify 1 by 2 minus root 3 minus one by root 3 + root 2 + 5 by 3 minus root 2​

Answer 1

Heya mate

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

eleminate the opposite terms

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

calculate the lcm of denominators

$\frac{3 + 10 - 2 \sqrt{3} - 6 \sqrt{3} }{6}$

find the sum

$\frac{13 - 8 \sqrt{3} }{6}$

this is your answer