Final answer:
To multiply the given expressions (√2x³ +√12x)(2√10x³ + √6x²), we can use the distributive property. Multiply each term in the first set of parentheses by each term in the second set of parentheses and simplify to get the final result.
Step-by-step explanation:
To multiply the given expressions (√2x³ +√12x)(2√10x³ + √6x²), we can use the distributive property. First, multiply the terms inside the first set of parentheses by each term in the second set of parentheses. This gives us 2√20x⁴ + √12x³√10x³ + √6x²√10x³ + √6x²√6x². Simplify each term by multiplying the coefficients and combining like terms. The final result is 2√30x⁴ + √72x⁶ + √60x⁵ + √36x⁴.