Given: An expression-
[tex]\sqrt{36}+\sqrt{49}-\sqrt{16}[/tex]
Required: To simplify the expression and determine the correct solution.
Explanation: The square root of a number can be simplified by factorizing the term inside the square root into the product of its factors as follows-
[tex]\sqrt{6\times6}+\sqrt{7\times7}-\sqrt{4\times4}[/tex]
Now, we take out a number outside the square root from the pairs of numbers to give the following-
[tex]6+7-4=9[/tex]
Also, we know that the square of 9 is 81. Hence,
[tex]\sqrt{81}=9[/tex]
Hence, the given expression is equal to 9 and the square root of 81.
Final Answer: Option A (1 and 4) is correct.
