Answer:
\(2\sqrt{5}\)
C is the correct option.
Step-by-step explanation:
The given expression is \(\sqrt{180}-\sqrt{125}+\sqrt{5}\)
In order to simplify the expression, we find the factors.
180 =6 ×6×5
125 = 5 ×5×5
Hence, we can rewrite the expression as
\(\sqrt{6\times6\times5}-\sqrt{5\times5\times5}+\sqrt{5}\)
We can further write this expression as
\(\sqrt{6^2\times5}-\sqrt{5^2\times5}+\sqrt{5}\)
Now, we can use the rule \(\sqrt{x^2}=x\)
\(6\sqrt{5}-5\sqrt{5}+\sqrt{5}\)
Finally, we can combine these like terms
\(2\sqrt{5}\)
Hence, C is the correct option.
