Question

which number is closest to $-sqrt{152}$? -11.8 -11.5 -12.3 -12.6

Explanation:

Step1: Calculate square of -11.8

$(-11.8)^2 = 139.24$

Step2: Calculate square of -11.5

$(-11.5)^2 = 132.25$

Step3: Calculate square of -12.3

$(-12.3)^2 = 151.29$

Step4: Calculate square of -12.6

$(-12.6)^2 = 158.76$

Step5: Compare to 152

Find differences: $|152 - 139.24|=12.76$, $|152 - 132.25|=19.75$, $|152 - 151.29|=0.71$, $|152 - 158.76|=6.76$. The smallest difference is 0.71, corresponding to -12.3.

Answer:

-12.3