Square root of 1
If you are wondering what the square root of 1 is, it is exactly 1. Similar to the square root of other numbers, the square root of a number (1 in this case) is a value that, when multiplied by itself, results in the original number (1). Mathematically, the square root of 1 can be expressed in either radical or exponent form:
-The radical form of the square root of 1 can be expressed as √1.
-Exponent form of the square root of 1: 1^(1/2) or 1^(0.5)
The radical sign or radix is a symbol that is commonly represented as √. The radicand is the number that we take the square root of, and it appears under the radical sign or symbol.
-The radical form of the square root of 1 can be expressed as √1.
-Exponent form of the square root of 1: 1^(1/2) or 1^(0.5)
The radical sign or radix is a symbol that is commonly represented as √. The radicand is the number that we take the square root of, and it appears under the radical sign or symbol.
Calculator for Square Root of 1
If you want to calculate the square root of a number, including the value of the square root of 1, you can use a square root calculator.
Square Root Calculator
Calculation Guide of Square root of 1
Our discussion will focus on the square root of 1, where we will provide a calculation guide and address commonly asked questions such as whether the square root of 1 is rational or irrational and whether 1 is a perfect square.
Below, you will find all the necessary information regarding the calculations for the square root of 1.
Below, you will find all the necessary information regarding the calculations for the square root of 1.
What is the square root of 1?
By definition, the square root of 1 is the number which, when multiplied by itself, yields the value 1. Hence, it can be concluded that the square root of 1 is precisely equal to 1, as 1 multiplied by itself equals 1.
Therefore,
ANSWER: Square root of 1 = √1 = 1
Therefore,
ANSWER: Square root of 1 = √1 = 1
Is 1 a Perfect Square?
A perfect square is a number that results from multiplying an integer by itself, also known as squaring. Integers include whole numbers such as 0, 1, 2, 3, 4, 7, 8, and 9. For instance, 81 is a perfect square because it can be expressed as 9², which is equivalent to 9 multiplied by 9. It is worth noting that 9 is an integer or a whole number. In contrast, values like -5, 7.025, or 5 ½ are not considered whole numbers.
In our example, the square root of 1 is a whole number, which means that 1 is a perfect square.
ANSWER: 1 is a perfect square.
In our example, the square root of 1 is a whole number, which means that 1 is a perfect square.
ANSWER: 1 is a perfect square.
Is the square root of 1 rational or irrational number?
An irrational number is a value that cannot be represented as the quotient of two integers. Unlike rational numbers, they cannot be represented by a finite or repeating decimal.
In our case, the square root of 1 can be expressed as a ratio of two whole numbers, which means that it is a rational number.
ANSWER: The square root of 1 can be classified as a rational number.
In our case, the square root of 1 can be expressed as a ratio of two whole numbers, which means that it is a rational number.
ANSWER: The square root of 1 can be classified as a rational number.
Principal square root of 1
Two square roots are associated with every positive number, one positive and one negative. When computing the square root of a number, the positive square root is commonly referred to as the "principal square root."
In our case, the principal square root of 1 is exactly 1, which is written as √1 = 1.
Note that the principal square root of a positive number is always a positive value. In the case of the square root of 1, both positive and negative 1 multiplied by themselves result in 1. However, we refer to the positive value of 1 as the principal square root.
The square root of 1 is a unique case because it is a perfect square but has only one possible value, unlike other perfect squares that have two possible values (one positive and one negative). This is because 1 is the identity element in multiplication, meaning that any number multiplied by 1 results in the same number.
In our case, the principal square root of 1 is exactly 1, which is written as √1 = 1.
Note that the principal square root of a positive number is always a positive value. In the case of the square root of 1, both positive and negative 1 multiplied by themselves result in 1. However, we refer to the positive value of 1 as the principal square root.
The square root of 1 is a unique case because it is a perfect square but has only one possible value, unlike other perfect squares that have two possible values (one positive and one negative). This is because 1 is the identity element in multiplication, meaning that any number multiplied by 1 results in the same number.
