Question

which number is closest to $sqrt{93}$? 10.2 8.7 9.6 10.5 square roots of perfect squares (92) not feeling ready yet? these can help: lesson: square roots

Explanation:

Step1: Calculate square - value of each option

$10.2^2=104.04$, $8.7^2 = 75.69$, $9.6^2=92.16$, $10.5^2 = 110.25$

Step2: Calculate differences from 93

$|104.04 - 93|=11.04$, $|75.69 - 93| = 17.31$, $|92.16 - 93|=0.84$, $|110.25 - 93|=17.25$

Step3: Compare differences

Since $0.84<11.04<17.25<17.31$

Answer:

$9.6$