What is the square root of 5 times the square root of 2 ?

Hint: To solve this question first we will convert the given word statement into mathematical expression. Then we will solve the multiplication of square root of 5 and square root of 2 to get the desired answer.

Complete step by step solution:
We have been given a word phrase square root of 5 times the square root of 2.
We have to find the value by converting the statement into mathematical form and simplifying the obtained expression.
We know that an algebraic expression contains variables, constants and mathematical operators. By solving the mathematical operations we will get the solution of algebraic expressions.
Now, let us first convert the given statement square root of 5 times the square root of 2 into mathematical form. Then we will get
$\Rightarrow \sqrt{5}\sqrt{2}$
Now, we have to multiply both to find the value. Then we will get
$\Rightarrow \sqrt{10}$
The number 10 is not a perfect square.

Hence we get the square root of 5 times the square root of 2 as $\sqrt{10}$.

Note: Students may misinterpret the statement square root of 5 times the square root of 2 and convert as $5\sqrt{2}$, which gives the incorrect solution. So the key point to solving such types of questions is right conversion of statements into mathematical expression. Read carefully the given expression and then solve further.