Multiple choice

Find the approximate square root of the following number: $1800$

  1. $42.20$
  2. $42.43$
  3. $41.90$
  4. $42.53$
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B Correct answer
Explanation

To find the square root of 1800, note that 42^2 = 1764 and 43^2 = 1849. Since 1800 is closer to 1764 than 1849, the value should be slightly above 42.4, making 42.43 the best approximation.

AI explanation

We use the square root estimation method by writing 1800 as the product of 900 and 2. The square root of 900 is exactly 30, and the approximate value of the square root of 2 is 1.414. Multiplying 30 by 1.414 gives the result of 42.42, which rounds to 42.43.

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