Square Root of 1

The square root of 1 is expressed as √1 in the radical form and as (1)^½ or (1)^0.5 in the exponent form. It is the positive solution of the equation x² = 1.

• Square Root of 1: 1
• Square Root of 1 in exponential form: (1)^½ or (1)^0.5
• Square Root of 1 in radical form: √1

The square root is an inverse mathematical operation of a square. As you are aware, exceptional cases are always there. In mathematics, there are too many exceptions we deal with. Look at the multiplication shown below when 1 is multiplied by 1 we get a new number as 1, 1 is a square root of 1, or square of 1 is also 1. This is an exceptional case of a square root of 1.

Since √1 = 1 which is rational numbers. Hence, the square root of 1 is rational. 

There are multiple ways to find square roots. Here you will be learning about the long division method. The value of the square root of 1 by the long division method consists of the following steps. The first step is to think about the number whose square is less than or equal to the number 1, treat this number as the divisor as well as the quotient (1 in this case). Perform the division and see the remainder. In the second step, we get the quotient 1 and in the remainder, we get 0. Hence it is a case of a perfect square.

Explore some square roots of other numbers using illustrations and interactive examples.

• Square root 5
• Square root 2
• Square root 4
• Square root 11
• Square root 9

• Can you think what will be the square root of -11 and -111?

• 1 is the only number whose square and the square root are equal.
• 1 is neither prime nor composite.