Multiple choice

The value of $\sqrt{0.9}$ is (approximately)

  1. 0.3

  2. 0.03

  3. 0.33

  4. 0.94
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D Correct answer
Explanation

The square root of 0.9 is approximately 0.94868. Among the choices, 0.94 is the closest approximation.

AI explanation

Recognize that 0.9 is very close to 1, and use the linear approximation formula for the square root of 1 plus x, which is 1 plus half of x. Substituting negative 0.1 for x gives 1 minus 0.05, equaling 0.95; since 0.9 is slightly less than 0.9025, the value is slightly less than 0.95, making 0.94 the closest approximation.

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