$\\sqrt{85}$ is approximately equal to ___.\n...
$\\sqrt{85}$ 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