Question

What is square root 20 divided by two?

Answer 1

Hint: To obtain the value of the given statement we will use the concept of square root. Firstly we will take the square root of 20 and then we will divide it by 2. For simplifying them further we will try to take out terms outside from the square root by using perfect square root value. Finally we will solve it and get the desired answer.

Complete step-by-step answer:
The statement is given as a square root of 20 divided by two.
So firstly we will write square root of the terms as below:
$\sqrt{20}$
Next we have to divide the above value by 2 as below:
$\dfrac{\sqrt{20}}{2}$
We can write the term inside the square root as:
$\begin{align}
  & = \dfrac{\sqrt{2\times 2\times 5}}{2} \\
 & = \dfrac{2\sqrt{5}}{2} \\
 & = \sqrt{5} \\
\end{align}$
So the answer is obtained as $\sqrt{5}$
Hence square root 20 divided by two is $\sqrt{5}$

Note: Square root of any number means dividing its power to half. When we multiply a number by itself we get the square of the number and the number is known as square root of that square. There is some general square root of some number that is needed to be known for solving bigger problems. Factoring methods can also be used for simplifying the square root values as we have done in our solution. We get a perfect square root value for a perfect square only and the value obtained is free of square root sign. There are negative terms whose square root is not possible and hence complex number is used to denote them.