1.
a)
[tex]7 \sqrt{10} = \sqrt{49 \times 10} = \sqrt{490} [/tex]
b)
[tex]8 \sqrt{ \frac{3}{4} } = \sqrt{64 \times \frac{3}{4} } = \sqrt{16 \times 3} = \sqrt{48} [/tex]
c)
[tex] \frac{2}{3} \sqrt{90} = \sqrt{ \frac{4}{9} \times 90 } = \sqrt{ \frac{4}{1} \times 10 } = \sqrt{40} [/tex]
2.
[tex]2 \sqrt{49} - 6 \sqrt{7} + 3 \sqrt{7} - \sqrt{28} = 2 \times 7 - 3 \sqrt{7} - \sqrt{4 \times 7} = 14 - 3 \sqrt{7} - 2 \sqrt{7} = 14 - 5 \sqrt{7} [/tex]
3.
a)
[tex] \sqrt{81 \times 100 \times 25} = 9 \times 10 \times 5 = 450[/tex]
b)
[tex] \sqrt{ \frac{36 \times 16}{49 \times 25} } = \frac{6 \times 4}{7 \times 5} = \frac{24}{35} [/tex]
Myślę że pomogłem ;)
