Question

What is the absolute value of square root \[2\] ?

Answer 1

Hint: These types of questions are pretty easy to solve and simple to understand once we get all the key and important concepts behind the problem. In such kinds of problems, we first need to convert the given theoretical problem statement into the mathematical one and then solve the problem accordingly and evaluate for the required answer. The general representation for the square root of any number is of the form of \[\sqrt{n}\] . So in this particular given problem, we represent the theoretical form of the problem to the mathematical form by writing that the square root of \[2\] is represented as, \[\sqrt{2}\] . To evaluate this value efficiently we need to have a clear cut understanding of the chapters like the square root of numbers and surds.

Complete step-by-step solution:
Now we start off with the solution to the given problem by trying to evaluate the value of \[\sqrt{2}\] . We must know that \[\sqrt{2}\] is a pretty standard known result that we should all have it on our fingertips. \[\sqrt{2}\] is a very useful value in mathematics and is needed in almost all domains. We see that when we square the number \[1.414\] , we get the result as \[2\] . So we can clearly say that \[1.414\] is the value of the square root of \[\sqrt{2}\] . So the answer to the problem is equal to \[1.414\] .

Note: Solving these types of problems, we need to have a fair amount of idea of the square root of numbers and surds or else we won’t be able to solve the problem efficiently. The main catch here in these types of problems is to find the number, squaring which we will get the given number in the question. In case of decimal numbers, we need to be careful about the place of the point, or else this will cause an error and eventually lead to a wrong solution.