Question

Raționalizați: 3
√6
;
4
√2
;
10
3√5
;
3
√75
;
8
√288.
Vă rog mult!Dau coroana!

Answer 1

Răspuns:

$\frac{3}{\sqrt{6} } |\sqrt{6} = \frac{3*\sqrt{6} }{\sqrt{6}*\sqrt{6} } =\frac{3\sqrt{6} }{6} =\frac{\sqrt{6} }{2}\\\\ \frac{4}{\sqrt{2} } |\sqrt{2} = \frac{4*\sqrt{2} }{\sqrt{2}*\sqrt{2} } =\frac{4\sqrt{2} }{2} =2\sqrt{2} \\\\\frac{10}{3\sqrt{5} } |\sqrt{5} = \frac{10*\sqrt{5} }{3*\sqrt{5}*\sqrt{5} } =\frac{10\sqrt{5} }{3*5} =\frac{10\sqrt{5} }{15}=\frac{2\sqrt{5} }{3}$

$\frac{3}{\sqrt{75} } |\sqrt{75} = \frac{3*\sqrt{75} }{\sqrt{75}*\sqrt{75} } =\frac{3\sqrt{75} }{75} =\frac{3\sqrt{25*3} }{75}=\frac{5\sqrt{3} }{25} =\frac{\sqrt{3} }{5} \\\\\frac{8}{\sqrt{288} } |\sqrt{288} = \frac{8*\sqrt{288} }{\sqrt{288}*\sqrt{288} } =\frac{8\sqrt{288} }{288} =\frac{8\sqrt{144*2} }{288} =\frac{12\sqrt{2} }{36}=\frac{\sqrt{2} }{3}$