Multiple choice

The approximate value of $(33)^{1/5}$ is

  1. 2.0125

  2. 2.1

  3. 2.01

  4. none of these
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A Correct answer
AI explanation

Using the approximation formula for roots, (32 + x)^(1/5) is approximately equal to the fifth root of 32 plus x divided by 5 times the fifth root of 32 to the fourth power. The fifth root of 32 is 2, and 2 to the fourth power is 16, making the denominator 80. For the number 33, x is 1, so we calculate 2 plus 1/80, which equals 2 plus 0.0125, resulting in 2.0125.

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