which two numbers does $sqrt{52}$ lie between on a number line?\no 7.0 and 7.1\no 7.1 and 7.2\no 7.2 and…
which two numbers does $sqrt{52}$ lie between on a number line?\no 7.0 and 7.1\no 7.1 and 7.2\no 7.2 and 7.3\no 7.3 and 7.4
Answer
Explanation:
Step1: Calculate the square - value of given numbers
$7.0^2=49$, $7.1^2 = 50.41$, $7.2^2=51.84$, $7.3^2 = 53.29$, $7.4^2=54.76$
Step2: Compare with 52
Since $51.84<52<53.29$, we know that $\sqrt{51.84}<\sqrt{52}<\sqrt{53.29}$, that is $7.2 < \sqrt{52}<7.3$
Answer:
7.2 and 7.3