Is the square root of 1 still 1?

Is the Square Root of 1 Still 1?

When you first look at math, some rules seem almost too simple to be true. A common question people wonder about is whether the square root of 1 remains 1. The short answer is yes, absolutely.

To understand why, think about what a square root actually asks. Finding the square root of a number means finding a value that, when multiplied by itself, gives you your original number. For 1, you look for a number that equals 1 when you multiply it by itself. Because 1 times 1 equals 1, the principal square root of 1 is always 1.

It is also worth noting that negative numbers can play a role in algebra. Since (-1) multiplied by (-1) also equals 1, -1 is technically a square root of 1 as well. However, in everyday math, when people ask for "the" square root, they are looking for the principal—or positive—root, which stays firmly at 1.

No matter how advanced mathematics gets, foundational rules like this one never change. One multiplied by itself will always take you right back to where you started.