Question 2 of 10 , Step 1 of 1
$1 / 10$
Correct
Simplify the expression by combining the radical terms using the indicated operation(s).
\[
4 \sqrt{45}+3 \sqrt{5}+2 \sqrt[3]{5}
\]

Answer

Step 1 ：Simplify the expression by combining the radical terms using the indicated operation(s).

Step 2 ：The problem is asking to simplify the expression by combining the radical terms. The first step is to simplify the radicals, if possible. The square root of 45 can be simplified to 3 times the square root of 5, because 45 is 9 times 5 and the square root of 9 is 3. The other terms are already simplified.

Step 3 ：After simplifying the radicals, we can combine the like terms. The like terms are the terms that have the same radical part. In this case, the terms with the square root of 5 can be combined, but the term with the cube root of 5 cannot be combined with the others because it has a different radical part.

Step 4 ：The simplified expression is \(2 \sqrt[3]{5} + 15 \sqrt{5}\)

Step 5 ：Final Answer: The simplified expression is \(\boxed{2 \sqrt[3]{5} + 15 \sqrt{5}}\)