Question

HELP ME PLZ.DAU COROANA!
1.Inversul numarului:
a=1/√(5-3√3)² - 2/√(2√3-4)².
2.Lungimea unui dreptunghi este egala cu 60√3 cm,iar latimea dreptunghiului este 0,41(6) din lungime.Calculati aria dreptunghiului!

Answer 1

[tex]1.a=\frac{1}{\sqrt{(5-3\sqrt3)^2}}-\frac{2}{\sqrt{(2\sqrt3-4)^2}}\\ a=\frac{1}{|5-3\sqrt3|}-\frac{2}{|2\sqrt3-4|}\\ a=\frac{1}{3\sqrt3-5}-\frac{2}{4-2\sqrt3}\\ a=\frac{3\sqrt3+5}{2}-\frac{2(4+2\sqrt3)}{4}\\ a=\frac{3\sqrt3+5}{2}-\frac{4+2\sqrt3}{2}\\ a=\frac{3\sqrt3+5-4-2\sqrt3}{2}\\ a=\frac{\sqrt3+1}{2}\\ (a)^{-1}=\frac{2}{\sqrt3+1}\\ \frac{1}{a}=\frac{2(\sqrt3-1)}{2}\\ \frac{1}{a}=\sqrt3-1[/tex]
[tex]2.l=\frac{5}{12}*L\\ l=\frac{5}{12}*60\sqrt3\\ l=25\sqrt3\\ A=l*L\\ A=25\sqrt3*60\sqrt3\\ A=4500cm^2[/tex]