Question

What is the square root of 5 times the square root of 3?

Answer 1

Hint: We are given a question to compute the value of expression consisting of the product of square root of 5 and square root of 3. The mathematical equivalent expression for the given statement is \[\sqrt{5}\times \sqrt{3}\]. We will use the rule, \[\sqrt{a}.\sqrt{b}=\sqrt{ab}\]. We will then substitute the values in the above given rule and we will get the expression as, \[\sqrt{15}\]. We will further simplify the expression and get the value of the square root of 15 as the answer. Therefore, we will have a value of the square root of 5 times the square root of 3.

Complete step by step answer:
According to the given question, we are given a statement which we have to solve and find the value of the expression.
The square root of 5 times the square root of 3 can be represented mathematically as,
\[\sqrt{5}\times \sqrt{3}\]
We will solve the above expression and find its value. In order to proceed further, we will use the rule, \[\sqrt{a}.\sqrt{b}=\sqrt{ab}\].
We will now substitute the known values in the above rule, we get the new expression as,
\[\Rightarrow \sqrt{5.3}\]
Multiplying the terms 5 and 3, we get the expression of the square root as,
\[\Rightarrow \sqrt{15}\]
We can extend the solution further by finding the value of the square root of 15 and we get the value as,
\[\sqrt{15}=3.873\]

Therefore, the value of the given statement is \[\sqrt{15}\] or \[3.873\] (approx.).

Note: The given question should be carefully understood and only then the mathematical statement be written. Majority of the mistakes are done because of the wrong interpretation of the question. You may write the mathematical equivalent as \[\sqrt{5\sqrt{3}}\], which is wrong. The ‘times’ given in the question is synonymous to the multiplication operator.