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.
Hence, the square root of 8 is an irrational number.
In this case, 8 is the radicand and 2√2 is the simplest and the radical form of √8.
No square number ends in 2, 3, 7 or 8. The number of zeros at the end of a perfect square is always even. Squares of even numbers are always even numbers and square of odd numbers are always odd. The Square of a natural number other than one is either a multiple of 3 or exceeds a multiple of 3 by 1.
The squarefree numbers are 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, ... (OEIS A005117). The squareful numbers (i.e., those that contain at least one square) are 4, 8, 9, 12, 16, 18, 20, 24, 25, ... (OEIS A013929).
The square root of 8 is 2.82842.
Also, the root of 9 is a rational number, because we can represent √9 = ±3 in the form P/Q, such as 3/1.
√8 = 2.828 up to three places of decimal
The square root is represented by the symbol, '√'.
This form is known as the radical form. It can be read as \[x\]radical \[n\]. Note: In the radical symbol, the horizontal line is known as vinculum, the quantity under the vinculum is called the radicand and the quantity \[n\]written to the left is known as the index.
Radical Definition
The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.
The square root of 2 is expressed as √2 in the radical form and as (2)½ or (2)0.5 in the exponent form. The square root of 2 rounded up to 10 decimal places is 1.4142135624.
The square root of 3 is expressed as √3 in the radical form and as (3)½ or (3)0.5 in the exponent form. The square root of 3 rounded up to 7 decimal places is 1.7320508.
8 lies between perfect squares of 2^2 and 3^2. To get a more accurate number, keep repeating step 2 and 3.
Hence, a perfect square can never have 8 as its unit's digit.
Hence the (positive) square root of 8 is somewhere between 2 and 3 . Since 8 is much closer to 9=32 than 4=22 , we can deduce that the closest integer to the square root is 3 .
The value of the square root of 20 is 4.472135955 and is denoted as √20 in radical form.