The square root of 4,356 is an integer. without a calculator, determine what the integer is by eliminating possibilities.

It's more than 3600, so its greater than 60.

it's less than 4900, so its less than 70.

a no.'s root can end with six if the no. ends with 4 or 6.

so the no is either 64 or 66.

Now if it's 66, the square must be greater than sq of 65.

65 sq = 4225

the given no. is greater than sq of 65.

Therefore the number is 66.