Question

x= \sqrt5- \sqrt{3
y=\sqrt5-+\sqrt{3
lxl-lyl?

Answer 1

[tex]x= \sqrt{5} - \sqrt{3} \\ y= \sqrt{5}+ \sqrt{3} \\ ------- \\ |x|-|y|=? \\ ------- \\ |x|=| \sqrt{5}- \sqrt{3}| \\ \sqrt{5}>\sqrt{3} => \\ x= \sqrt{5}- \sqrt{3} \\ \\ y=| \sqrt{5}+ \sqrt{3}| \\ y= \sqrt{5}+ \sqrt{3} \\ \\ |x|-|y|= \sqrt{5}- \sqrt{3}-( \sqrt{5}+ \sqrt{3}) \\ = \sqrt{5}- \sqrt{3}- \sqrt{5}- \sqrt{3} \\ =-2 \sqrt{3} [/tex]