Square root of 8
If you are wondering what the square root of 8 is, it is approximately 2.82842712475. The square root of a number (8 in this case) is a value (2.82842712475 in this case) that, when multiplied by itself, equals the original number (8). Mathematically, the square root of 8 can be expressed in either radical or exponent form:
-Radical form of the square root of 8: √8
-Exponent form of the square root of 8: 8^(1/2) or 8^(0.5)
The radical sign or radix is the term used to refer to the symbol √. The number being calculated for its square root is called the radicand, which is the number under the radical sign (radix) in this case.
-Radical form of the square root of 8: √8
-Exponent form of the square root of 8: 8^(1/2) or 8^(0.5)
The radical sign or radix is the term used to refer to the symbol √. The number being calculated for its square root is called the radicand, which is the number under the radical sign (radix) in this case.
Calculator for Square Root of 8
If you want to calculate the square root of a number, including the value of the square root of 8, you can use a square root calculator.
Calculation Guide of Square root of 8
In the following sections we explain how to calculate the square root of 8. We will address frequently asked questions, such as "Is the square root of 8 a rational or irrational number?" and “is 8 a perfect square?” Our primary focus of discussion will be on the square root of 8.
You will find all the information you need on the square root of 8 calculations below.
You will find all the information you need on the square root of 8 calculations below.
What is the square root of 8?
The square root of 8 is a number which multiplied by itself equals 8. Therefore, the square root of 8 is 2.82842712475 and we write it √8=2.82842712475 because 2.82842712475=8. Since 2.82842712475 is the same as 2.82842712475 x 2.82842712475 the following expression is true:
8 = 2.82842712475=2.82842712475×2.82842712475
Therefore
ANSWER: square root of 8=√8=2.82842712475
8 = 2.82842712475=2.82842712475×2.82842712475
Therefore
ANSWER: square root of 8=√8=2.82842712475
Is 8 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 8 is 2.82842712475. Since 2.82842712475 is not a whole number therefore 8 is not a perfect square.
ANSWER: 8 is not a perfect square
In our example the square root of 8 is 2.82842712475. Since 2.82842712475 is not a whole number therefore 8 is not a perfect square.
ANSWER: 8 is not a perfect square
Is the square root of 8 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 8 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 8 is not a perfect square, therefore the square root of 8 is an irrational number.
ANSWER: The square root of 8 is an irrational number.
A quick method to determine if 8 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 8 is not a perfect square, therefore the square root of 8 is an irrational number.
ANSWER: The square root of 8 is an irrational number.
Principal square root of 8
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 8 are -2.82842712475 (negative) and +2.82842712475 (positive) because (-2.82842712475)^2=(+2.82842712475)^2=8. 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 2.82842712475 or +2.82842712475 which is written as √8=2.82842712475. As you may know, if there is no minus (-) sign before a number it is a positive number.
Therefore, the principal square root of 8 is √8=2.82842712475.
Therefore, the principal square root of 8 is √8=2.82842712475.