Square Root Of 8

The square root of 8 in radical form is represented as √8 which is also equal to 2√2 and as a fraction, it is equal to 2.828 approximately. Squares root of a number is the number, which multiplying by itself gives the original number. Since 8 is not a perfect square, hence the value is represented in root form. The value 2√2 is said to be surd, as it cannot be further simplified. As we all know, 8 = 2 × 2 × 2, thus we can see the number is a perfect cube of 2. So, we can determine the cube root of 8 which is equal to 2, such as 3√8 = 2. But for numbers which are perfect squares such as 4, 9, 16, 25, etc. the root for them can be determined easily, such as;

  • √4 = √(2 x 2) = 2
  • √9 = √(3 x 3) = 3
  • √16 = √(4 x 4) = 4
  • √25 = √(5 x 5) = 5
Square Root of 8

√8 = 2.82842712475 

Or

√8 = 2.828 up to three places of decimal

Now that you know the value of root 8, let us calculate its value here. although finding the square root of a number by using calculators is very easy, but students should know how to calculate it manually.

The square root is represented by the symbol, ‘√’. This symbol ‘√’ is called a radical symbol or radix. The number underneath the radical symbol or radix is called as radicand.

Method to Find Value of Root 8

To give you an idea, the square of 2 is 4 and the square of 3 is 9. So 8’s square root essentially lies between these two digits. But since 3 square is 9, which is greater than 8, it most probably lies between 2.8 or 2.9. The actual answer for the square root of 8 is 2.82842712475. And this is really close to our estimate. Similarly, you could use this technique to find out square roots of other numbers.

Do you know what the square root of 8 to the power of 3 is? To solve the problem, we need to take the square root of 8. Then, we take that value and multiply by itself 3 times.

So essentially, square root of 8 to the power of 3 = (2.828 x 2.828 x 2.828) = 22.627.

Now, it’s easy to find the square root of 8 and we also learned what square root of 8 to the power of 3 is.

Also learn to find the square root of 6, 7, 9, 10, 11 and 12, by reaching to the below-mentioned links.

Square root Table From 1 to 15

In the table given here, find the values of root of numbers from 1 to 15 to use it for mathematical calculations.

Number Squares Square Root (Upto 3 places of decimal)
1 12 = 1 √1 = 1
2 22 = 4 √2 = 1.414
3 32 = 9 √3 = 1.732
4 42 = 16 √4 = 2.000
5 52 = 25 √5 = 2.236
6 62 = 36 √6 = 2.449
7 72 = 49 √7 = 2.646
82 = 64 √8 = 2.828
92 = 81 √9 = 3.000
10 102 = 100 √10 = 3.162`
11 112 = 121 √11 = 3.317
12 122 = 144 √12 = 3.464
13 132 = 169 √13 = 3.606
14 142 = 196 √14 = 3.742
15 152 = 225 √15 = 3.873

Learn more and find out unique tips and tricks to help you understand more about square roots and know how to find the square root of a number easily.

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