Question

The number 312 lies between what two perfect squares?

Answer 1

Answer:
B) 216 and 330
or
C) 216 and 343

Well, for starters, I will pick B) 216 and 330 as my answer because its closer than C) 216 and 343, even though both can be the answer.

Answer 2

Answer:

312 lies between perfect squares 289 and 324

None of the options is correct

Step-by-step explanation:

A perfect square is a number that can be expressed as the product of two equal integers. For example, 16 is a perfect square since it can be expressed as $4*4 or 4^{2}$

We can list a couple of perfect squares and see which option is correct.

$10^{2} = 100$

$11^{2} = 121$

$12^{2} = 144$

$13^{2} = 169$

$14^{2} = 196$

$15^{2} = 225$

$16^{2} = 256$

$17^{2} = 289$

312 lies here

$18^{2} = 324$

$19^{2} = 361$

Then, we can conclude that

$289 = 17^{2} \leq 312 \leq 18^{2} = 324$