Square Root of 2
If you are wondering what the square root of 2 is, it is approximately 1.41421356237. The square root of a number (2 in this case) is a value (1.41421356237 in this case) that, when multiplied by itself, equals the original number (2). Mathematically, the square root of 2 can be expressed in either radical or exponent form:
- Radical form of the square root of 2: √2
- Exponent form of the square root of 2: 2^(1/2) or 2^(0.5)
Calculator for Square Root of 2
If you want to calculate the square root of a number, including the value of the square root of 2, you can use a square root calculator.
Square Root Calculator
Calculation Guide of Square root of 2
In the following sections we explain how to calculate the square root of 2. We will address frequently asked questions, such as "Is the square root of 2 a rational or irrational number?" and “is 2 a perfect square?” Our primary focus of discussion will be on the square root of 2.
You will find all the information you need on the square root of 2 calculations below.
You will find all the information you need on the square root of 2 calculations below.
What is the square root of 2?
The square root of 2 is a number which multiplied by itself equals 2. Therefore, the square root of 2 is 1.41421356237 and we write it √2=1.41421356237 because 1.41421356237=2. Since 1.41421356237 is the same as 1.41421356237 x 1.41421356237 the following expression is true:
2 = 1.41421356237=1.41421356237×1.41421356237
Therefore
ANSWER: square root of 2=√2=1.41421356237
2 = 1.41421356237=1.41421356237×1.41421356237
Therefore
ANSWER: square root of 2=√2=1.41421356237
Is 2 a Perfect Square?
A number is considered a perfect square if it is a product of squaring a whole number (called integer). 0, 1, 2, 3, 4, 7, 8, and 9 are all whole numbers (same as integers). Numbers such as -8, 7.025, or 5 ½ are not whole numbers. Remember squaring is when a number is multiplied by itself. For example, 81 is a perfect square because it is a product of 92 which is the same as 9×9. Notice 9 is a whole number (integer).
In our example the square root of 2 is 1.41421356237. Since 1.41421356237 is not a whole number therefore 2 is not a perfect square.
ANSWER: 2 is not a perfect square
In our example the square root of 2 is 1.41421356237. Since 1.41421356237 is not a whole number therefore 2 is not a perfect square.
ANSWER: 2 is not a perfect square
Is the square root of 2 rational or irrational number?
A number is rational when it can be made by dividing a whole number by a whole number. A whole number which is also called an integer does not have a fractional part itself. Simply said a number is rational if it can be written as a fraction.
A quick method to determine if 2 is a perfect square. All perfect squares have rational square roots. The square roots of numbers that are not a perfect square are all irrational numbers. Since we know that 2 is not a perfect square therefore 2 is not a rational number.
A quick method to determine if 2 is a perfect square. All perfect squares have rational square roots. The square roots of numbers that are not a perfect square are all irrational numbers. Since we know that 2 is not a perfect square therefore 2 is not a rational number.
Principal square root of 2
Every positive number has two square roots. One of the square roots is positive and another one is negative. For example the square roots of 2 are -1.41421356237 (negative) and +1.41421356237 (positive) because (-1.41421356237)^2=(+1.41421356237)^2=2. The positive square root is denoted as “the principal square root”. Typically, when we are calculating “the square root of a number” we mean the principal square root. In our case it is positive 1.41421356237 or +1.41421356237 which is written as 1.41421356237. As you may know if there is no minus (-) sign before a number it is a positive number.
So, the principal square root of 2 is approximately 1.41421356237
So, the principal square root of 2 is approximately 1.41421356237
