Practice Questions

<h3>Step-by-Step Calculation</h3><ul><li><b>Calculate the square root:</b> The expression contains &radic;144. Since 12 &times; 12 = 144, the square root of 144 is 12.</li><li><b>Calculate the cube root:</b> The expression contains &sup3;&radic;27. Since 3 &times; 3 &times; 3 = 27 (or 3&sup3; = 27), the cube root of 27 is 3.</li><li><b>Summation:</b> Add the two resulting values: 12 + 3 = 15.</li></ul><h4>Important Exam Tips for Roots</h4><ul><li><b>Square Numbers (1 to 20):</b> Memorizing squares up to 20 is essential for competitive exams to save time. Key squares include: 11&sup2;=121, 12&sup2;=144, 13&sup2;=169, 14&sup2;=196, 15&sup2;=225, 16&sup2;=256, 17&sup2;=289, 18&sup2;=324, 19&sup2;=361, and 20&sup2;=400.</li><li><b>Cube Numbers (1 to 10):</b> Familiarity with cubes up to 10 is frequently required for simplification questions. Remember: 1&sup3;=1, 2&sup3;=8, 3&sup3;=27, 4&sup3;=64, 5&sup3;=125, 6&sup3;=216, 7&sup3;=343, 8&sup3;=512, 9&sup3;=729, and 10&sup3;=1000.</li><li><b>Differentiation:</b> Always distinguish carefully between the square root (&radic;) and the cube root (&sup3;&radic;) symbols. Misreading the root index (the small number on the radical) is a common source of error in multiple-choice exams.</li></ul>

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