1. Izračunajte.

(a) \( 2\sqrt{5} + 1\sqrt{5} = \)

(b) \( -5\sqrt{19} + 8\sqrt{14} - \sqrt{12} = \)

(c) \( \frac{3}{2} \sqrt{9} + \frac{2}{9} \sqrt{8} - \frac{5}{2} \sqrt{9} = \)

(d) \( 5\sqrt{8} - 5\sqrt{10} + 9\sqrt{7} - 6\sqrt{4} = \)

2. Izračunajte.

(a) \( (\sqrt{30})^2 = \)

(b) \( -\left(\frac{2}{9}\right)^2 = \)

(c) \( \sqrt{(13.90)^2} = \)

(d) \( (3\sqrt{4})^2 = \)

(e) \( \frac{(-\sqrt{9})^2}{10} = \)

(f) \( 4\left(\sqrt{\frac{3}{9}}\right)^2 = \)

3. Izračunajte i usporedite.

(a) \( \sqrt{4\cdot8} \) _____ \( \sqrt{12} \cdot \sqrt{16} \)

(b) \( \sqrt{75\cdot50} \) _____ \( \sqrt{100} \cdot \sqrt{25} \)

(c) \( \sqrt{\frac{2}{8} \cdot 12} \) _____ \( \sqrt{\frac{3}{16}} \cdot \sqrt{8} \)

(d) \( \sqrt{0.25\cdot6000} \) _____ \( \sqrt{0.10} \cdot \sqrt{1000} \)

4. Izračunajte.

(a) \( \sqrt{100\cdot100} = \)

(b) \( \sqrt{0.22\cdot2\cdot25} = \)

(c) \( \sqrt{36} \cdot \sqrt{3} = \)

(d) \( \sqrt{12} \cdot \sqrt{12} = \)

5. Izračunajte i usporedite.

(a) \( \sqrt{2} \div 5 \) ☐ \( \sqrt{1} \div \sqrt{5} \)

(b) \( \sqrt{5} \div 19 \) ☐ \( \sqrt{8} \div \sqrt{14} \)

(c) \( \sqrt{12} \div 3 \) ☐ \( \sqrt{2} \div \sqrt{9} \)

(d) \( \sqrt{\frac{2}{9}} \div 8 \) ☐ \( \sqrt{\frac{5}{2}} \div \sqrt{9} \)

6. Izračunajte.

(a) \( \sqrt{5} \div 8 = \)

(b) \( \sqrt{5} \div 10 = \)

(c) \( \sqrt{9} \div \sqrt{7} = \)

(d) \( \sqrt{6} \div \sqrt{4} = \)

(e) \( \sqrt{30} \div 2 = \)

(f) \( \sqrt{9} \div 13.90 = \)

(g) \( \sqrt{3} \div \sqrt{4} \div \sqrt{9} = \)

(h) \( \sqrt{\frac{10}{4}} \div \sqrt{\frac{3}{9}} = \)

7. Izračunajte.

(a) \( \sqrt{\frac{4}{8}} \cdot \sqrt{\frac{12}{16}} \cdot \sqrt{\frac{75}{50}} = \)

(b) \( \sqrt{100} \cdot \sqrt{25} \cdot \sqrt{\frac{2}{8}} \cdot \sqrt{12} = \)

8. Izračunajte.

(a) \( 2 \cdot (-5\sqrt{1}) = \)

(b) \( (5\sqrt{5}) \div 19 = \)

(c) \( \sqrt{8} \cdot (\sqrt{14} + 12) = \)

(d) \( \sqrt{3} \cdot (2\sqrt{9} - \sqrt{2}) = \)

(e) \( \sqrt{9} \cdot (\sqrt{8} - \sqrt{5}) = \)

(f) \( -2\sqrt{9} \cdot (\sqrt{5} + 8\sqrt{5}) = \)

(g) \( (10 + \sqrt{9}) \cdot (\sqrt{7} - 6) = \)

(h) \( (4\sqrt{30} + 2) \cdot (9 - \sqrt{13.90}) = \)

(i) \( (\sqrt{3} - \sqrt{4}) \div \sqrt{9} = \)

(j) \( (\sqrt{10} + \sqrt{4} - \sqrt{3}) \div \sqrt{9} = \)

9. Djelomično korjenjujte.

(a) \( \sqrt{4} = \)

(b) \( \sqrt{8} = \)

(c) \( \sqrt{12} = \)

(d) \( \sqrt{16} = \)

(e) \( \sqrt{75} = \)

(f) \( \sqrt{50} = \)

(g) \( \sqrt{\frac{100}{25}} = \)

(h) \( \sqrt{\frac{2}{8}} = \)

10. Djelomično korjenjujte pa izračunajte.

(a) \( \sqrt{12} + 3\sqrt{16} - 8\sqrt{0.25} = \)

(b) \( 6000\sqrt{0.10} - \sqrt{1000} + 100\sqrt{100} = \)

(c) \( \sqrt{0.22} - 2\sqrt{25} - 36\sqrt{3} = \)

(d) \( \frac{12}{12}\sqrt{24} + \frac{1}{6}\sqrt{54} - \sqrt{96} = \)

(e) \( 4\sqrt{28} - (-2\sqrt{126} + \sqrt{7}) + 1\sqrt{1400} = \)

(f) \( 4 \cdot (\sqrt{198} + 1\sqrt{88}) - \sqrt{11} = \)

(g) \( \sqrt{4} \cdot (2\sqrt{72} - 2\sqrt{50}) = \)

(h) \( (-1\sqrt{125} - 1\sqrt{360}) \cdot \sqrt{5} = \)

\( E = mc^2 \) za Luka	\( \int_{a}^{b} x^2 \,dx \)
\( a^2 + b^2 = c^2 \)	\( \sum_{n=1}^{\infty} \frac{1}{n^2} \)
\( \lim_{x \to \infty} \frac{1}{x} = 0 \)		\( f(x) = \frac{- 2}{1 + e^{-x}} \)

(b) \( \sqrt[n]{5 } \) Stjepan Luka