Final answer:
To simplify the expression √(10x²√(5x)), we combine the square roots first, then simplify further to get the equivalent expression.
Step-by-step explanation:
To simplify the product √(10x²√(5x), we can combine the two square roots and simplify further. First, we'll rewrite the expression as √(10x²) × √(5x). The square root of 10x² can be simplified as 2x√10x. So the product becomes: 2x√10x × √(5x). Next, we can combine the two square roots to get: 2x√(10x(5x)). Simplifying the expression inside the square root, we have: 2x√(50x²). Finally, we can simplify 2x√(50x²) as 2x√(25 × 2x²), which further simplifies to 2x×5x√2x.
Learn more about Simplifying square roots