Korijeni zbrajanje
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<h1 class="text-center mb-4">Kviz: Zbrajanje korijena - 8. razred</h1>
<p class="lead text-center">Riješi sljedeća pitanja o zbrajanju korijena različitih težina.</p>
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<!-- Pitanje 1 -->
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<h5 class="card-title">Pitanje 1 (Lako)</h5>
<p class="card-text">(a) Izračunaj: \( \sqrt{§§V0(16,25,1,2)§§} + \sqrt{§§V1(9,16,122)§§} \)</p>
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<strong>Rješenje:</strong> \( \sqrt{§§V0_0§§} + \sqrt{§§V1_0§§} = §§V2(4,5,1,2)§§ + §§V3(3,4,1,2)§§ = §§V4(7,8,1,2)§§ \)
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<!-- Pitanje 2 -->
<div class="card question-card difficulty-easy">
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<h5 class="card-title">Pitanje 2 (Lako)</h5>
<p class="card-text">(b) Pojednostavni: \( \sqrt{§§V5(25,36,1,2)§§} + \sqrt{§§V6(4,9,1,2)§§} \)</p>
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<strong>Rješenje:</strong> \( \sqrt{§§V5_0§§} + \sqrt{§§V6_0§§} = §§V7(5,6,1)§§ + §§V8(2,3,1,2)§§ = §§V9(7,9,1,2)§§ \)
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<!-- Pitanje 3 -->
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<h5 class="card-title">Pitanje 3 (Srednje)</h5>
<p class="card-text">(c) Izračunaj: \( \sqrt{§§V10(8,18,2,2)§§} + \sqrt{§§V11(18,32,2,2)§§} \)</p>
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<strong>Rješenje:</strong>
\( \sqrt{§§V10_0§§} + \sqrt{§§V11_0§§} = \sqrt{§§V12(4,9,1,2)§§ \cdot 2} + \sqrt{§§V13(9,16,1)§§ \cdot 2} = §§V14(2,3,1,2)§§\sqrt{2} + §§V15(3,4,1,2)§§\sqrt{2} = §§V16(5,7,1,2)§§\sqrt{2} \)
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<!-- Pitanje 4 -->
<div class="card question-card difficulty-medium">
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<h5 class="card-title">Pitanje 4 (Srednje)</h5>
<p class="card-text">(d) Pojednostavni: \( \sqrt{§§V17(12,27,3,2)§§} + \sqrt{§§V18(27,48,3,2)§§} \)</p>
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<strong>Rješenje:</strong>
\( \sqrt{§§V17_0§§} + \sqrt{§§V18_0§§} = \sqrt{§§V19(4,9,1)§§ \cdot 3} + \sqrt{§§V20(9,16,1)§§ \cdot 3} = §§V21(2,3,1)§§\sqrt{3} + §§V22(3,4,1)§§\sqrt{3} = §§V23(5,7,1)§§\sqrt{3} \)
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<!-- Pitanje 5 -->
<div class="card question-card difficulty-medium">
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<h5 class="card-title">Pitanje 5 (Srednje)</h5>
<p class="card-text">(e) Izračunaj: \( \sqrt{§§V24(50,72,2,2)§§} + \sqrt{§§V25(32,50,2,2)§§} \)</p>
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<strong>Rješenje:</strong>
\( \sqrt{§§V24_0§§} + \sqrt{§§V25_0§§} = \sqrt{§§V26(25,36,1)§§ \cdot 2} + \sqrt{§§V27(16,25,1)§§ \cdot 2} = §§V28(5,6,1)§§\sqrt{2} + §§V29(4,5,1)§§\sqrt{2} = §§V30(9,11,1)§§\sqrt{2} \)
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<!-- Pitanje 6 -->
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<h5 class="card-title">Pitanje 6 (Srednje)</h5>
<p class="card-text">(f) Pojednostavni: \( \sqrt{§§V31(75,108,3,2)§§} + \sqrt{§§V32(48,75,3,2)§§} \)</p>
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<strong>Rješenje:</strong>
\( \sqrt{§§V31_0§§} + \sqrt{§§V32_0§§} = \sqrt{§§V33(25,36,1,2)§§ \cdot 3} + \sqrt{§§V34(16,25,1)§§ \cdot 3} = §§V35(5,6,1,2)§§\sqrt{3} + §§V36(4,5,1,2)§§\sqrt{3} = §§V37(9,11,1,2)§§\sqrt{3} \)
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<!-- Pitanje 7 -->
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<h5 class="card-title">Pitanje 7 (Teško)</h5>
<p class="card-text">(g) Izračunaj: \( \sqrt{§§V38(20,45,5,2)§§} + \sqrt{§§V39(45,80,5,2)§§} + \sqrt{§§V40(80,125,5,2)§§} \)</p>
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<strong>Rješenje:</strong>
\( \sqrt{§§V38_0§§} + \sqrt{§§V39_0§§} + \sqrt{§§V40_0§§} = \sqrt{§§V41(4,9,1)§§ \cdot 5} + \sqrt{§§V42(9,16,1,2)§§ \cdot 5} + \sqrt{§§V43(16,25,1,2)§§ \cdot 5} = §§V44(2,3,1,2)§§\sqrt{5} + §§V45(3,4,1,2)§§\sqrt{5} + §§V46(4,5,1,2)§§\sqrt{5} = §§V47(9,12,1,2)§§\sqrt{5} \)
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<!-- Pitanje 8 -->
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<h5 class="card-title">Pitanje 8 (Teško)</h5>
<p class="card-text">(h) Pojednostavni: \( \sqrt{§§V48(98,128,6,2)§§} + \sqrt{§§V49(72,98,6,2)§§} + \sqrt{§§V50(50,72,6,2)§§} \)</p>
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<strong>Rješenje:</strong>
\( \sqrt{§§V48_0§§} + \sqrt{§§V49_0§§} + \sqrt{§§V50_0§§} = \sqrt{§§V51(49,64,1,2)§§ \cdot 2} + \sqrt{§§V52(36,49,1,2)§§ \cdot 2} + \sqrt{§§V53(25,36,1,2)§§ \cdot 2} = §§V54(7,8,1,2)§§\sqrt{2} + §§V55(6,7,1,2)§§\sqrt{2} + §§V56(5,6,1,2)§§\sqrt{2} = §§V57(18,21,1,2)§§\sqrt{2} \)
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<!-- Pitanje 9 -->
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<h5 class="card-title">Pitanje 9 (Teško)</h5>
<p class="card-text">(i) Izračunaj: \( \sqrt{§§V58(12,27,3,2)§§} + \sqrt{§§V59(27,48,3,2)§§} + \sqrt{§§V60(48,75,3,2)§§} + \sqrt{§§V61(75,108,3,2)§§} \)</p>
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<strong>Rješenje:</strong>
\( \sqrt{§§V58_0§§} + \sqrt{§§V59_0§§} + \sqrt{§§V60_0§§} + \sqrt{§§V61_0§§} = §§V62(2,3,1,2)§§\sqrt{3} + §§V63(3,4,1,2)§§\sqrt{3} + §§V64(4,5,1,2)§§\sqrt{3} + §§V65(5,6,1,2)§§\sqrt{3} = §§V66(14,18,21)§§\sqrt{3} \)
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<!-- Pitanje 10 -->
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<h5 class="card-title">Pitanje 10 (Teško)</h5>
<p class="card-text">(j) Pojednostavni: \( \sqrt{§§V67(200,288,8)§§} + \sqrt{§§V68(128,200,8)§§} + \sqrt{§§V69(162,242,8)§§} \)</p>
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<strong>Rješenje:</strong>
\( \sqrt{§§V67_0§§} + \sqrt{§§V68_0§§} + \sqrt{§§V69_0§§} = \sqrt{§§V70(100,144,1)§§ \cdot 2} + \sqrt{§§V71(64,100,1)§§ \cdot 2} + \sqrt{§§V72(81,121,1)§§ \cdot 2} = §§V73(10,12,1)§§\sqrt{2} + §§V74(8,10,1)§§\sqrt{2} + §§V75(9,11,1)§§\sqrt{2} = §§V76(27,33,1)§§\sqrt{2} \)
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