Prove whether or not 169 is a perfect square.

13

Step-by-step explanation:

Proving whether a number is or isn't a perfect square can seem complicated.

In this case, we are going to set up an equation:

n * n = 169

n² = 169

n = .

Breaking the radical down:

(factors of 169): 1, 13, 13, 169

Since there are two 13's, and that when multiplied by together equal 169, we can see that the square root of 169 is 13. Also note that most people memorize this square root :D.

Thusly, we know that is a perfect square. (The square root is 13.)

Hope this helps!