<div class="container mt-5"> <table class="table table-striped"> <thead> <tr> <th scope="col">#</th> <th scope="col">Izraz</th> <th scope="col">Rezultat</th> </tr> </thead> <tbody> <tr> <th scope="row">1</th> <td>\(\sqrt{a^2}\)</td> <td>\(a\)</td> </tr> <tr> <th scope="row">2</th> <td>\(\sqrt{a \cdot b}\)</td> <td>\(\sqrt{a} \cdot \sqrt{b}\)</td> </tr> <tr> <th scope="row">3</th> <td>\(\sqrt{\frac{a}{b}}\)</td> <td>\(\frac{\sqrt{a}}{\sqrt{b}}\)</td> </tr> <tr> <th scope="row">4</th> <td>\(\sqrt{a^n}\)</td> <td>\(a^{\frac{n}{2}}\) (za \(n\) parno)</td> </tr> <tr> <th scope="row">5</th> <td>\(\sqrt[3]{a}\)</td> <td>\(a^{\frac{1}{3}}\)</td> </tr> </tbody> </table> </div> <h4>1. Zbroji ili oduzmi sljedeće izraze s korijenima:</h4> <p>a) \( \sqrt{§§V1(2,10,2)§§} + \sqrt{§§V2(3,12,3)§§} - \sqrt{§§V3(2,10,2)§§} \)</p> <p>b) \( \sqrt{§§V4(5,20,5)§§} - \sqrt{§§V5(2,8,2)§§} + \sqrt{§§V6(3,15,3)§§} \)</p> <p>c) \( \sqrt{§§V7(18,72,18)§§} - \sqrt{§§V8(2,8,2)§§} + \sqrt{§§V9(5,20,5)§§} \)</p> <p>d) \( \sqrt{§§V10(15,60,15)§§} + \sqrt{§§V11(2,8,2)§§} - \sqrt{§§V12(3,12,3)§§} \)</p> <h4>2. Izračunaj sljedeće izraze koji sadrže zbrajanje i oduzimanje korijena:</h4> <p>a) \( \sqrt{§§V1(16,64,16)§§} + \sqrt{§§V2(25,100,25)§§} - \sqrt{§§V3(4,16,4)§§} \)</p> <p>b) \( \sqrt{§§V4(36,144,36)§§} - \sqrt{§§V5(9,36,9)§§} + \sqrt{§§V6(64,256,64)§§} \)</p> <p>c) \( \sqrt{§§V7(49,196,49)§§} - \sqrt{§§V8(16,64,16)§§} + \sqrt{§§V9(25,100,25)§§} \)</p> <p>d) \( \sqrt{§§V10(81,324,81)§§} + \sqrt{§§V11(4,16,4)§§} - \sqrt{§§V12(36,144,36)§§} \)</p> <h4>3. Zbrajanje i oduzimanje korijena s različitim vrijednostima:</h4> <p>a) \( \sqrt{§§V1(3,15,3)§§} + \sqrt{§§V2(2,10,2)§§} - \sqrt{§§V3(1,5,1)§§} \)</p> <p>b) \( \sqrt{§§V4(8,32,8)§§} - \sqrt{§§V5(6,24,6)§§} + \sqrt{§§V6(4,16,4)§§} \)</p> <p>c) \( \sqrt{§§V7(13,52,13)§§} - \sqrt{§§V8(5,20,5)§§} + \sqrt{§§V9(7,28,7)§§} \)</p> <p>d) \( \sqrt{§§V10(10,40,10)§§} + \sqrt{§§V11(3,12,3)§§} - \sqrt{§§V12(2,10,2)§§} \)</p> <h4>4. Kompleksniji izrazi s korijenima:</h4> <p>a) \( \sqrt{§§V1(18,72,18)§§} + \sqrt{§§V2(4,16,4)§§} - \sqrt{§§V3(8,32,8)§§} \)</p> <p>b) \( \sqrt{§§V4(20,80,20)§§} - \sqrt{§§V5(5,20,5)§§} + \sqrt{§§V6(3,12,3)§§} \)</p> <p>c) \( \sqrt{§§V7(27,108,27)§§} - \sqrt{§§V8(6,24,6)§§} + \sqrt{§§V9(15,60,15)§§} \)</p> <p>d) \( \sqrt{§§V10(32,128,32)§§} + \sqrt{§§V11(2,8,2)§§} - \sqrt{§§V12(12,48,12)§§} \)</p> <h4>5. Kompleksniji izrazi s korijenima i razlomcima:</h4> <p>a) \( \sqrt{§§V1(25,100,25)§§} + \frac{1}{2}\sqrt{§§V2(16,64,16)§§} - \frac{1}{3}\sqrt{§§V3(9,36,9)§§} \)</p> <p>b) \( \sqrt{§§V4(36,144,36)§§} - \frac{1}{4}\sqrt{§§V5(4,16,4)§§} + \frac{1}{5}\sqrt{§§V6(64,256,64)§§} \)</p> <p>c) \( \sqrt{§§V7(49,196,49)§§} - \frac{1}{6}\sqrt{§§V8(25,100,25)§§} + 2\frac{1}{7}\sqrt{§§V9(36,144,36)§§} \)</p> <p>d) \( \sqrt{§§V10(81,324,81)§§} + \frac{1}{8}\sqrt{§§V11(9,36,9)§§} - \frac{1}{9}\sqrt{§§V12(16,64,16)§§} \)</p> <h4>6. Složeni izrazi s korijenima, razlomcima i zbrajanjem/oduzimanjem:</h4> <p>a) \( \sqrt{§§V1(3,15,3)§§} + \frac{1}{2}\sqrt{§§V2(2,10,2)§§} - \frac{1}{3}\sqrt{§§V3(1,5,1)§§} + \frac{1}{4}\sqrt{§§V4(4,16,4)§§} \)</p> <p>b) \( \sqrt{§§V5(8,32,8)§§} - \frac{1}{5}\sqrt{§§V6(6,24,6)§§} + \frac{1}{6}\sqrt{§§V7(4,16,4)§§} - \frac{1}{7}\sqrt{§§V8(5,20,5)§§} \)</p> <p>c) \( \sqrt{§§V9(13,52,13)§§} - \frac{1}{8}\sqrt{§§V10(5,20,5)§§} + \frac{1}{9}\sqrt{§§V11(7,28,7)§§} - \frac{1}{10}\sqrt{§§V12(10,40,10)§§} \)</p> <p>d) \( \sqrt{§§V1(18,72,18)§§} + \frac{1}{11}\sqrt{§§V2(4,16,4)§§} - \frac{1}{12}\sqrt{§§V3(8,32,8)§§} + \frac{1}{13}\sqrt{§§V4(20,80,20)§§} \)</p>