Question

What is the square root of \[1.21\] ?.

Answer 1

Hint: Questions like these are quite easy to solve once we understand clearly the key and important concepts behind the given problem. In these types of problems, we first of all need to convert the theoretical statement of the problem to mathematical form and then solve it accordingly. Here, if we avoid decimal, then we can see that 121 is a perfect square, so use this to solve further.

Complete step by step answer:
In this problem, we need to find the square root of a particular number. We represent the square root of any number ‘n’ in the form of \[\sqrt{n}\] . So here in this particular question, we represent the square root of the number in the mathematical form as \[\sqrt{1.21}\] . To evaluate it efficiently, we need to have a clear cut idea of chapters like surds and square roots of numbers.
Now we start off with the solution to the given problem by trying to evaluate the value of \[\sqrt{1.21}\] . We realise that the square of \[11\] is nothing but \[121\] . So the square of \[1.1\] must be equal to \[1.21\] . From this relation, we can easily find out that the square root of the number \[1.21\] or \[\sqrt{1.21}\] will be equal to \[1.1\] as the square of \[1.1\] is equal to \[\sqrt{1.21}\] .

So our answer to the problem is equal to \[1.1\] .

Note: For solving such problems, we need to have a clear cut idea of surds and square roots of numbers, failing which we will not be able to solve the problem. We also need to be very careful while we write that a particular number is a square of another number. We need to keep in mind of the decimal places also, as an error in the decimal place, will lead to an error in the overall solution of the problem.