$\\sqrt{85}$ is approximately equal to ___.\na 9\nb 90\nc 8.5\nd 15
$\\sqrt{85}$ is approximately equal to ___.\na 9\nb 90\nc 8.5\nd 15
Answer
Explanation:
Step1: Recall square - number relationship
We know that (9^2=81) and (10^2 = 100). Since (81<85<100), (\sqrt{81}<\sqrt{85}<\sqrt{100}), that is (9 <\sqrt{85}<10).
Step2: Analyze the options
Option B (90) is much larger than the expected range. Option C (8.5), since (8.5^2=72.25<85). Option D (15), (15^2 = 225) which is much larger than 85. Option A (9) is the closest value as (\sqrt{85}\approx9) because 85 is close to 81.
Answer:
A. 9