Vježbaj PTM
Korijeni,potencije, realni brojevi
<p>(a) Izračunajte:
\( \frac{\sqrt{§§V1(3,15,3)§§}}{2} \cdot \left(\frac{5}{6} + \frac{7}{8}\right) \)
</p>
<p>(b) Riješite jednadžbu:
\( 2x^2 boxed{-6} - 4x + §§V2(2,10,2)§§ \cdot \sqrt{§§V3(3,15,3)§§} = 0 \)
</p>
<p>(c) Pomnožite:
\( \sqrt{§§V4(3,15,3)§§} \cdot \sqrt{§§V5(3,15,3)§§} \)
</p>
<p>(d) Podijelite:
\( \frac{\sqrt{§§V6(3,15,3)§§}}{\sqrt{§§V7(3,15,3)§§}} \)
</p>
<p>(e) Izračunajte:
\( \frac{\sqrt{§§V8(3,15,3)§§} \cdot \sqrt{§§V9(3,15,3)§§}}{\sqrt{§§V10(3,15,3)§§}} \)
</p>
<p>(f) Pojednostavite izraz:
\( \sqrt{§§V1(3,15,3)§§} \cdot \sqrt{§§V2(3,15,3)§§} \cdot \sqrt{§§V3(3,15,3)§§} \)
</p>
<p>(g) Odredite vrijednost izraza:
\( \frac{\sqrt{§§V4(3,15,3)§§} \cdot \sqrt{§§V5(3,15,3)§§}}{\sqrt{§§V6(3,15,3)§§} \cdot \sqrt{§§V7(3,15,3)§§}} \)
</p>
<p>(h) Pomnožite korijene:
\( \sqrt{§§V8(3,15,3)§§} \cdot \sqrt{§§V9(3,15,3)§§} \cdot \sqrt{§§V10(3,15,3)§§} \)
</p>
<p>(i) Podijelite korijene:
\( \frac{\sqrt{§§V1(3,15,3)§§} \cdot \sqrt{§§V2(3,15,3)§§}}{\sqrt{§§V3(3,15,3)§§} \cdot \sqrt{§§V4(3,15,3)§§}} \)
</p>
<p>(j) Izračunajte:
\( \frac{\sqrt{§§V5(3,15,3)§§}}{2} \cdot \left(\frac{3}{5} + \frac{4}{7}\right) \)
</p>
<h4>Ajmo dalje</h4>
<p>(a) Izračunajte:
\( \frac{\sqrt{§§V1(3,15,3)§§}}{2} \cdot \left(\frac{5}{6} + \frac{7}{8}\right) \)</p>
<p>(b) Riješite jednadžbu:
\( 2x^2 - 4x + §§V2(2,10,2)§§ \cdot \sqrt{§§V3(3,15,3)§§} = 0 \)</p>
<p>(c) Pomnožite:
\( \sqrt{§§V4(3,15,3)§§} \cdot \sqrt{§§V5(3,15,3)§§} \)</p>
<p>(d) Podijelite:
\( \frac{\sqrt{§§V6(3,15,3)§§}}{\sqrt{§§V7(3,15,3)§§}} \)</p>
<p>(e) Izračunajte:
\( \frac{\sqrt{§§V8(3,15,3)§§} \cdot \sqrt{§§V9(3,15,3)§§}}{\sqrt{§§V10(3,15,3)§§}} \)</p>
<p>(f) Pojednostavite izraz:
\( \sqrt{§§V1(3,15,3)§§} \cdot \sqrt{§§V2(3,15,3)§§} \cdot \sqrt{§§V3(3,15,3)§§} \)</p>
<p>(g) Odredite vrijednost izraza:
\( \frac{\sqrt{§§V4(3,15,3)§§} \cdot \sqrt{§§V5(3,15,3)§§}}{\sqrt{§§V6(3,15,3)§§} \cdot \sqrt{§§V7(3,15,3)§§}} \)</p>
<p>(h) Pomnožite korijene:
\( \sqrt{§§V8(3,15,3)§§} \cdot \sqrt{§§V9(3,15,3)§§} \cdot \sqrt{§§V10(3,15,3)§§} \)</p>
<p>(i) Podijelite korijene:
\( \frac{\sqrt{§§V1(3,15,3)§§} \cdot \sqrt{§§V2(3,15,3)§§}}{\sqrt{§§V3(3,15,3)§§} \cdot \sqrt{§§V4(3,15,3)§§}} \)</p>
<p>(j) Izračunajte:
\( \frac{\sqrt{§§V5(3,15,3)§§}}{2} \cdot \left(\frac{3}{5} + \frac{4}{7}\right) \)</p>
<hr>
<p>1. Izračunajte:
\( \frac{\sqrt{§§V1(3,15,3)§§}}{2} \cdot \left(\frac{5}{6} + \frac{7}{8}\right) - \frac{3}{4} \)</p>
<p>2. Riješite jednadžbu:
\( 2x^2 - 4x + \sqrt{§§V2(2,10,2)§§} \cdot §§V3(3,15,3)§§ = 0 \)</p>
<p>3. Pomnožite i zatim podijelite:
\( \left(\frac{\sqrt{§§V4(3,15,3)§§}}{\sqrt{§§V5(3,15,3)§§}}\right) \div \left(\frac{§§V6(3,15,3)§§}{§§V7(3,15,3)§§}\right) \)</p>
<p>4. Izračunajte kvadratni korijen izrazom:
\( \sqrt{\frac{§§V8(3,15,3)§§}{§§V9(3,15,3)§§}} \)</p>
<p>5. Pomnožite i zbrojite:
\( \sqrt{§§V10(3,15,3)§§} \cdot \left(\frac{2}{3} + \frac{4}{5}\right) \)</p>
<p>6. Riješite sustav jednadžbi:
\[
\begin{cases}
2x + 3y = 10 \\
4x - y = 7
\end{cases}
\]</p>
<p>7. Izračunajte:
\( \frac{§§V11(3,15,3)§§}{\sqrt{§§V12(3,15,3)§§}} - \frac{\sqrt{§§V13(3,15,3)§§}}{§§V14(3,15,3)§§} \)</p>
<p>8. Riješite jednadžbu:
\( 3x^2 - 2x + \frac{§§V15(3,15,3)§§}{\sqrt{§§V16(3,15,3)§§}} = 0 \)</p>
<p>9. Izračunajte kvadratni korijen sumom:
\( \sqrt{\frac{§§V17(3,15,3)§§ + §§V18(3,15,3)§§}{§§V19(3,15,3)§§}} \)</p>
<p>10. Pomnožite i zatim podijelite:
\( \left(\frac{\sqrt{§§V20(3,15,3)§§} \cdot \sqrt{§§V21(3,15,3)§§}}{\sqrt{§§V22(3,15,3)§§}}\right) \div \left(\frac{§§V23(3,15,3)§§}{§§V24(3,15,3)§§}\right) \)</p>