square root and Integers

Question

The value of 3√180 is between which two integers?

Answer 1

3 *  √169 <3 *√180 < 3 *  √196

3 * 13  < 3 * √180 < 3 * 14

   39 <  3 * √ 180 < 42

Answer 2

Let x = 3√18. So, x > 0.

x^2 = 9*180 = 1620

40^2 = 1600

41^2 = 1680

So,

40^2< x^2 < 41^2

Answer: x is between 40 and 41.

Answer 3

36 and 37

Answer 4

40 and 41