Ответ:
- \(\sqrt2\cdot\sqrt8=\sqrt{16}=4\).
- \(\frac{\sqrt2}{\sqrt{18}}=\sqrt{\frac{2}{18}}=\sqrt{\frac19}=\frac13\).
- \(\sqrt{27}\cdot\sqrt3=\sqrt{81}=9\).
- \(\frac{\sqrt{52}}{\sqrt{117}}=\sqrt{\frac{52}{117}}=\sqrt{\frac49}=\frac23\).
- \(\sqrt{28}\cdot\sqrt7=\sqrt{196}=14\).
- \(\frac{\sqrt{23}}{\sqrt{2300}}=\sqrt{\frac{23}{2300}}=\sqrt{\frac1{100}}=\frac1{10}\).
- \(\sqrt{13}\cdot\sqrt{52}=\sqrt{676}=26\).
- \(\frac{\sqrt{12500}}{\sqrt{500}}=\sqrt{25}=5\).
Ответ: 1) 4; 2) \(\frac13\); 3) 9; 4) \(\frac23\); 5) 14; 6) \(\frac1{10}\); 7) 26; 8) 5.
