Final answer:
To find the sum of 2x²√5x⁴ and 7√5x⁸, simplify the expressions and combine the coefficients.
Step-by-step explanation:
To find the sum of 2x²√5x⁴ and 7√5x⁸, we need to combine like terms. First, let's simplify the expressions:
2x²√5x⁴ becomes 2x³√5
7√5x⁸ becomes 7x⁴√5
Now, we can add these two expressions together:
2x³√5 + 7x⁴√5
Since both terms have the same radical ( √5), we can combine them by adding the coefficients:
2x³√5 + 7x⁴√5 gives us a final answer of (2x³ + 7x⁴)√5.