Question

error analysis your math class is comparing $sqrt{11}$ and 5.1. your friend says that $sqrt{11}>5.1$ because $sqrt{11}=5.5$. what is the correct comparison? what mistake did your friend likely make?what is the correct comparison?$sqrt{11}<5.1$what mistake did your friend likely make?○ a. your friend made an error when rounding the decimal value of $sqrt{11}$ to the nearest tenth.○ b. your friend found $-sqrt{11}$, not $sqrt{11}$.○ c. your friend found $11div2$, not $sqrt{11}$.

Explanation:

Step1: Calculate $\sqrt{11}$ value

$\sqrt{11} \approx 3.3166$

Step2: Compare to 5.1

$3.3166 < 5.1$

Step3: Identify friend's error

Friend calculated $\frac{11}{2}=5.5$ instead of $\sqrt{11}$.

Answer:

Correct comparison: $\boldsymbol{\sqrt{11} < 5.1}$
Mistake: C. Your friend found $11 \div 2$, not $\sqrt{11}$.