Question

5(5\(\sqrt{2}\) +2\(\sqrt{5}\)). \(\sqrt{5}\) -\(\sqrt{250}\)

Answer 1

\(5\left(5\sqrt{2}+2\sqrt{5}\right)\cdot\sqrt{5}-\sqrt{250}\)

\(=5\left(5\sqrt{2}+2\sqrt{5}\right)\cdot\sqrt{5}-\sqrt{25\cdot10}\)

\(=5\left(5\sqrt{2}+2\sqrt{5}\right)\cdot\sqrt{5}-5\sqrt{10}\)

\(=\left(25\sqrt{2}+10\sqrt{5}\right)\cdot\sqrt{5}-5\sqrt{10}\)

\(=25\sqrt{10}+10\cdot5-5\sqrt{10}\)

\(=20\sqrt{10}+50\)

Answer 2

(5căn 2+2*căn 5)*căn 5-căn 250

=5căn 10+10-5căn 10

=10