Question

What is \[2\] times the square root of \[3\] ?.

Answer 1

Hint: Solving these types of questions are quite easy once we understand the key or underlying concepts behind the problem. One of the main and important tasks behind solving this problem is to convert the problem statement from theoretical to mathematical form. So, once that is done, we can use the result \[\sqrt{3}\] is 1.732 and we can solve it easily.

Complete step by step answer:
The sentence square root of \[3\] can be written in mathematical form as, \[\sqrt{3}\] and \[2\] times of this formed number can be written in mathematical form as \[2\sqrt{3}\] .
Now after representing this in the required form, we need to evaluate this value so as to get the desired result for this problem. To evaluate this, we need to have some basic knowledge of surds, fractions and square roots of different numbers.
Now we start off with the solution to the given problem by trying to evaluate the value of the required mathematical form. We know that the value of the square root of \[3\] or \[\sqrt{3}\] is given by \[1.732\] . Now \[2\] times this value will give us our desired answer. Its value is thus evaluated as,
\[2\times 1.732=3.464\] .

Thus our answer to the problem is \[3.464\] .

Note: To solve these types of problems efficiently, we need to have a thorough knowledge of chapters like surds and square roots of different numbers. We can also solve this problem by putting the square of the number present outside the square root, inside the root and then finding the square root of the resultant number. But this method of solving is much easier and error free. We also need to be careful while multiplying the two different real numbers.