Multiple choice

What approximate value will come in place of the question mark $(?)$ in the following question? (you are not expected to calculate the exact value) $\sqrt{8000}=?$

  1. $76$
  2. $89$
  3. $65$
  4. $97$
  5. $58$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

sqrt(8000) is equivalent to sqrt(80 * 100) = 10 * sqrt(80). Since 8^2 = 64 and 9^2 = 81, sqrt(80) is slightly less than 9. Thus, 10 * 8.94 = 89.4, which is approximately 89.

AI explanation

We can estimate the square root by finding the closest perfect squares near 8000, which are 8100 (the square of 90) and 7921 (the square of 89). Since 7921 is much closer to 8000 than 8100 is, the square root of 8000 is approximately 89.

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