1. Izračunajte.

(a) \( 2\sqrt{3} + 7\sqrt{3} = \)

(b) \( -14\sqrt{17} + 4\sqrt{19} - \sqrt{13} = \)

(c) \( \frac{6}{4} \sqrt{4} + \frac{9}{10} \sqrt{5} - \frac{1}{5} \sqrt{7} = \)

(d) \( 1\sqrt{10} - 7\sqrt{13} + 8\sqrt{14} - 2\sqrt{4} = \)

2. Izračunajte.

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

(b) \( -\left(\frac{4}{9}\right)^2 = \)

(c) \( \sqrt{(-12.50)^2} = \)

(d) \( (3\sqrt{6})^2 = \)

(e) \( \frac{(-\sqrt{9})^2}{7} = \)

(f) \( 2\left(\sqrt{\frac{1}{7}}\right)^2 = \)

3. Izračunajte i usporedite.

(a) \( \sqrt{16\cdot4} \) _____ \( \sqrt{4} \cdot \sqrt{4} \)

(b) \( \sqrt{100\cdot75} \) _____ \( \sqrt{25} \cdot \sqrt{50} \)

(c) \( \sqrt{\frac{3}{4} \cdot 12} \) _____ \( \sqrt{\frac{1}{16}} \cdot \sqrt{4} \)

(d) \( \sqrt{0.36\cdot9000} \) _____ \( \sqrt{0.31} \cdot \sqrt{9000} \)

4. Izračunajte.

(a) \( \sqrt{75\cdot25} = \)

(b) \( \sqrt{0.34\cdot3\cdot100} = \)

(c) \( \sqrt{21} \cdot \sqrt{6} = \)

(d) \( \sqrt{4} \cdot \sqrt{16} = \)

5. Izračunajte i usporedite.

(a) \( \sqrt{2} \div 3 \) ☐ \( \sqrt{7} \div \sqrt{3} \)

(b) \( \sqrt{14} \div 17 \) ☐ \( \sqrt{4} \div \sqrt{19} \)

(c) \( \sqrt{13} \div 6 \) ☐ \( \sqrt{4} \div \sqrt{4} \)

(d) \( \sqrt{\frac{9}{10}} \div 5 \) ☐ \( \sqrt{\frac{1}{5}} \div \sqrt{7} \)

6. Izračunajte.

(a) \( \sqrt{1} \div 10 = \)

(b) \( \sqrt{7} \div 13 = \)

(c) \( \sqrt{8} \div \sqrt{14} = \)

(d) \( \sqrt{2} \div \sqrt{4} = \)

(e) \( \sqrt{30} \div 4 = \)

(f) \( \sqrt{9} \div -12.50 = \)

(g) \( \sqrt{3} \div \sqrt{6} \div \sqrt{9} = \)

(h) \( \sqrt{\frac{7}{2}} \div \sqrt{\frac{1}{7}} = \)

7. Izračunajte.

(a) \( \sqrt{\frac{16}{4}} \cdot \sqrt{\frac{4}{4}} \cdot \sqrt{\frac{100}{75}} = \)

(b) \( \sqrt{25} \cdot \sqrt{50} \cdot \sqrt{\frac{3}{4}} \cdot \sqrt{12} = \)

8. Izračunajte.

(a) \( 2 \cdot (-3\sqrt{7}) = \)

(b) \( (3\sqrt{14}) \div 17 = \)

(c) \( \sqrt{4} \cdot (\sqrt{19} + 13) = \)

(d) \( \sqrt{6} \cdot (4\sqrt{4} - \sqrt{9}) = \)

(e) \( \sqrt{10} \cdot (\sqrt{5} - \sqrt{1}) = \)

(f) \( -5\sqrt{7} \cdot (\sqrt{1} + 10\sqrt{7}) = \)

(g) \( (13 + \sqrt{8}) \cdot (\sqrt{14} - 2) = \)

(h) \( (4\sqrt{30} + 4) \cdot (9 - \sqrt{-12.50}) = \)

(i) \( (\sqrt{3} - \sqrt{6}) \div \sqrt{9} = \)

(j) \( (\sqrt{7} + \sqrt{2} - \sqrt{1}) \div \sqrt{7} = \)

9. Djelomično korjenjujte.

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

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

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

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

(e) \( \sqrt{100} = \)

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

(g) \( \sqrt{\frac{25}{50}} = \)

(h) \( \sqrt{\frac{3}{4}} = \)

10. Djelomično korjenjujte pa izračunajte.

(a) \( \sqrt{12} + 1\sqrt{16} - 4\sqrt{0.36} = \)

(b) \( 9000\sqrt{0.31} - \sqrt{9000} + 75\sqrt{25} = \)

(c) \( \sqrt{0.34} - 3\sqrt{100} - 21\sqrt{6} = \)

(d) \( \frac{4}{16}\sqrt{48} + \frac{2}{3}\sqrt{108} - \sqrt{96} = \)

(e) \( 3\sqrt{56} - (-1\sqrt{126} + \sqrt{14}) + 1\sqrt{700} = \)

(f) \( 4 \cdot (\sqrt{99} + 1\sqrt{88}) - \sqrt{33} = \)

(g) \( \sqrt{6} \cdot (2\sqrt{144} - 1\sqrt{100}) = \)

(h) \( (-2\sqrt{125} - 1\sqrt{180}) \cdot \sqrt{5} = \)

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

(b) \( \sqrt[n]{3 } \) Lucija Krešimir