Square Root Of 6

Square root of 6 can be easily found by using any of the methods to solve square roots. These methods can either be through prime factorization or long division methods. To find out what is the square root of 6, we just need to be aware of a few solutions and methods. The value of root 6 is 2.44948974278. This can be mathematically represented as:

sqrt(6)= 2.44948974278 or √6 = 2.44948974278

To find Root 6 one can refer to the methods of simplifying square roots. Basically, to simplify a square root the number should be made as small as possible while still keeping it as a whole number. Mathematically this can be written as:

√a.b = √a * √b

To write this equation for the square root of 6 simplified we will get:

√6= √2 * √3

√2 * √3 = 2√3

Thus, this is the simplified version of square root of 6. Similarly we can also find square roots of any other whole numbers and find out their factors. After finding the factors we usually convert them into the lowest divisible number, as we have done above.Thus, we have found the value of root 6. This method is the most popularly used method for finding square roots of any number. Apart from this, if we use a calculator we can find that the exact value of this as well. The exact value will always be a decimal number as it is nearly impossible to find a positive whole integer as a root for non-rational numbers.

Another simplistic example of how roots work with one another is by figuring out the Square root of 6 plus square root of 6, this is an interesting problem with a simplistic solution. Let us view this problem and its solution mathematically,

Sqrt (6) + Sqrt (6) = √6 + √6

√6 + √6 = 2√6

Thus by this we can know that each square root represents a value of 1 root 6, keeping this in mind we can add these roots together to find the solution to the problem, while keeping the base root under the radical sign constant. Thus,this i how we can find the solutions of such problems.

If you liked this topic and want to read more about square root related articles, you can check out the Square Root Property Formula.


Practise This Question


In the figure given above, what is the value of tan θ in terms of a,b and c?