Question

What is the value of the statement (5 square root of 5) squared?

Answer 1

Hint: To find the value of the given statement (5 square root of 5) squared, we first of all need to convert this statement (5 square root of 5) into mathematical form which is equal to $5\sqrt{5}$. Now, this statement (5 square root of 5) squared means we have to take the square of $5\sqrt{5}$.

Complete step by step answer:
In the above problem, we are asked to find the value of the statement “(5 square root of 5) squared”. For that, we are going to write the mathematical expression of “(5 square root of 5). This statement means we have to take the square root of 5 and then multiply 5 with this square root of 5 so multiplying 5 by square root of 5 we get,
$5\times \sqrt{5}$
We can write the above expression as follows:
$5\sqrt{5}$
Now, the mathematical expression of (5 square root of 5) squared is found by taking the square of the above expression:
${{\left( 5\sqrt{5} \right)}^{2}}$
We know that, squaring of any number means we have to multiply that number by itself so multiplying $5\sqrt{5}$ by $5\sqrt{5}$ we get,
$5\sqrt{5}\times 5\sqrt{5}$
Also, we know that if we multiply $\sqrt{5}$ by $\sqrt{5}$ then we get 5 so using this relation in the above multiplication we get,
$\begin{align}
  & 25\times 5 \\
 & =125 \\
\end{align}$

Hence, we got the value of the given statement as 125.

Note: In the above problem, the mistake that could be possible in the solution is the calculation mistake and the point where it can happen the most is when we take the square of $5\sqrt{5}$. In squaring $5\sqrt{5}$, we are going to miss one of the 5 and then resulting in the wrong solution so make sure you haven’t made this mistake.