We are asked to determine the square root of 176. This number is not a perfect square, which means there is no natural number such that the product by itself is 176. We can simplify this radical as following:
[tex]\sqrt[]{176}[/tex]We know that
[tex]176=16\times11[/tex]We replace that in the radical:
[tex]\sqrt[]{176}=\sqrt[]{16\times11}[/tex]Now we use the following property:
[tex]undefined[/tex]