Question

Matematyka. Bardzo proszę o rozwiazanie tych 5 zadań

Answer 1

1)

[tex](\sqrt{24}-4\sqrt3+2\sqrt{12})*\sqrt6=(2\sqrt6-4\sqrt3+4\sqrt3)*\sqrt6=2\sqrt6*\sqrt6=2*6=\boxed{12}[/tex]

2)

[tex](16\sqrt2-2\sqrt{32}+2\sqrt{72}):\sqrt8=(16\sqrt2-8\sqrt2+12\sqrt2):2\sqrt2=20\sqrt2:2\sqrt2=\boxed{10}[/tex]

3)

[tex](5\sqrt{36}+4\sqrt{24}-3\sqrt{216}):2\sqrt6=(30+8\sqrt6-18\sqrt6):2\sqrt6=(30-10\sqrt6):2\sqrt6=\frac{30-10\sqrt6}{2\sqrt6}*\frac{\sqrt6}{\sqrt6}=\frac{30\sqrt6-60}{12}=\frac{6(5\sqrt6-10)}{12}=\boxed{\frac{5\sqrt6-10}2}[/tex]

4)

[tex](4-2\sqrt5)(\sqrt5+3)=4\sqrt5+12-10-6\sqrt5=\boxed{2-2\sqrt5}[/tex]

5)

[tex](2\sqrt6+6)(2\sqrt3-3\sqrt2)=4\sqrt{18}-6\sqrt{12}+12\sqrt3-18\sqrt2=12\sqrt{2}-12\sqrt{3}+12\sqrt3-18\sqrt2=\boxed{-6\sqrt2}[/tex]