All perfect squares end in 1, 4, 5, 6, 9 or 00 (i.e. Even number of zeros).

Therefore, a number that ends in 2, 3, 7 or 8 is not a perfect square.

Now, we have to check whether 156 is a perfect square or not?

Step 1. What is the last number of 156 ?

The answer is 6.

2. Is 6 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 6 is not in the list of numbers that are never perfect squares.

Let us continue to the next step.

Step 2:

We now need to obtain the digital root of the number.

For this, split the number up and add each digit together:

1 + 5 + 6 = 12

If the answer is more than one digit, you would add each digit of the answer together again:

1 + 2 = 3

What is the digital root of number 156?

Answer: 3

Step 3:

So now we know the digital root of 156 is 3

Is 3 in the list of digital roots that are always a square root (1, 4, 7 or 9)?

Answer: No, 3 is not in the list of digital roots that are always perfect squares.

We can conclude that 156 is not a perfect square.

So, the number 156 is not a perfect square.