Answer:
3
Explanation:
Consider nearby cubes:
3³ = 3·3·3 = 27
(∛34)³ = 34
3.5³ = 3.5·3.5·3.5 = 42.875
4³ = 4·4·4 = 64
The closest integer to ∛34 is 3.
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Alternatively, your calculator can tell you the cube root of 34 is about 3.2396. Rounded to the nearest integer, that is 3.
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Some calculators don't have a cube-root button, but they do have a y^x button, or an x^n (or simply ^) button. To use that to find the cube root, you compute 34^(1/3).
The first attachment shows the result of typing 34^(1/3) into a Google search box. The second attachment shows the use of the calculator x^y button (just left of the 0 button). Parentheses around the exponent are mandatory if you want the correct answer.