Find the positive square root of $(32 + 4\sqrt {15} )$

Hint: In these types of questions remember to use the square root operation in the given number and find the positive result of the operation using this information you can easily approach the solution of the question.

Complete step by step answer:
According to the given information we have a number $(32 + 4\sqrt {15} )$
Let x be the positive square root of $(32 + 4\sqrt {15} )$
Therefore $x = \sqrt {32 + 4\sqrt {15} } $
$ \Rightarrow $$x = \sqrt {32 + 4\left( {3.87} \right)} $
$ \Rightarrow $$x = \sqrt {32 + 15.48} $
$ \Rightarrow $$x = \sqrt {47.48} $
Since we only want the positive square root of the given number
Therefore x can’t be negative
$ \Rightarrow $x = 6.8

Therefore 6.8 is the square root of the given number i.e. $(32 + 4\sqrt {15} )$.

Note: In the above question we used a term “operation” which can be explained as a method to calculate the result of any input using the operands and an operator here the operator which is applied to obtain the result have certain rules which have to be followed to obtain the output of the given input and here operands is the number which is used for an operation and the example of the operator are addition, subtraction, division, etc.