the square root of 152 is between which pair of numbers?\na. 40 and 50\nb. 14 and 15\nc. 12 and 13\nd. 11…
the square root of 152 is between which pair of numbers?\na. 40 and 50\nb. 14 and 15\nc. 12 and 13\nd. 11 and 12\ne. 10 and 11
Answer
Explanation:
Step1: Calculate squares of numbers
$10^2 = 100$, $11^2=121$, $12^2 = 144$, $13^2=169$, $14^2 = 196$, $40^2=1600$, $50^2 = 2500$.
Step2: Compare with 152
Since $144<152<169$, we know that $\sqrt{144}<\sqrt{152}<\sqrt{169}$, which means $12 < \sqrt{152}<13$.
Answer:
C. 12 and 13