Question

complete the following statement. use the integers that are closest to the number in the middle.
□ < √120 < □

Explanation:

Step1: Find lower perfect square

Identify the largest perfect square less than 120: $10^2 = 100$

Step2: Find upper perfect square

Identify the smallest perfect square greater than 120: $11^2 = 121$

Step3: Relate to square root

Since $100 < 120 < 121$, take square roots: $\sqrt{100} < \sqrt{120} < \sqrt{121}$, so $10 < \sqrt{120} < 11$

Answer:

$10 < \sqrt{120} < 11$