Compute $\sqrt{144} + \sqrt[3]{27} = ?$

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Compute

\sqrt{144} + \sqrt[3]{27} = ?

A14

B15

C16

D13

Answer:

Calculate the square root: The expression contains √144. Since 12 × 12 = 144, the square root of 144 is 12.
Calculate the cube root: The expression contains ³√27. Since 3 × 3 × 3 = 27 (or 3³ = 27), the cube root of 27 is 3.
Summation: Add the two resulting values: 12 + 3 = 15.

Square Numbers (1 to 20): Memorizing squares up to 20 is essential for competitive exams to save time. Key squares include: 11²=121, 12²=144, 13²=169, 14²=196, 15²=225, 16²=256, 17²=289, 18²=324, 19²=361, and 20²=400.
Cube Numbers (1 to 10): Familiarity with cubes up to 10 is frequently required for simplification questions. Remember: 1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216, 7³=343, 8³=512, 9³=729, and 10³=1000.
Differentiation: Always distinguish carefully between the square root (√) and the cube root (³√) symbols. Misreading the root index (the small number on the radical) is a common source of error in multiple-choice exams.

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