Question

1. which inequality is true? a $sqrt{195}>14.1$ b. $sqrt{205}<14.1$ c. $sqrt{208}<14.1$ d. $sqrt{218}>14.1$

Explanation:

Step1: Square 14.1

$14.1\times14.1 = 198.81$

Step2: Analyze Option A

Since $\sqrt{195}<\sqrt{198.81}$, so $\sqrt{195}<14.1$, Option A is false.

Step3: Analyze Option B

Since $\sqrt{205}>\sqrt{198.81}$, so $\sqrt{205}>14.1$, Option B is false.

Step4: Analyze Option C

Since $\sqrt{208}>\sqrt{198.81}$, so $\sqrt{208}>14.1$, Option C is false.

Step5: Analyze Option D

Since $\sqrt{218}>\sqrt{198.81}$, so $\sqrt{218}>14.1$, Option D is true.

Answer:

D. $\sqrt{218}>14.1$