Question

the height of a painting is $sqrt{85}$ ft. between which two consecutive whole numbers is $sqrt{85}$?
choose the correct answer below.
○ a. 11 and 12
○ b. 9 and 10
○ c. 10 and 11
○ d. 8 and 9

Explanation:

Step1: Find squares of nearby integers

Calculate squares of consecutive whole numbers:
$9^2 = 81$, $10^2 = 100$

Step2: Compare with $\sqrt{85}$

Since $81 < 85 < 100$, take square roots:
$\sqrt{81} < \sqrt{85} < \sqrt{100}$
Simplify: $9 < \sqrt{85} < 10$

Answer:

B. 9 and 10