Answer:
Therefore, the simplified expression is 2x2y4\sqrt(10).
Explanation:
The expression \sqrt(40x(4)y(8)) can be simplified by using the following steps:
- Factor out the perfect squares from the radicand (the expression inside the square root).
- \sqrt(40x(4)y(8)) = \sqrt(4 * 10 * x^(4) * y^(8))
- Rewrite the square root of a product as the product of square roots.
- \sqrt(4 * 10 * x^(4) * y^(8)) = \sqrt(4) * \sqrt(10) * \sqrt(x^(4)) * \sqrt(y^(8))
- Simplify the square roots of perfect squares.
- \sqrt(4) * \sqrt(10) * \sqrt(x^(4)) * \sqrt(y^(8)) = 2 * \sqrt(10) * x^2 * y^4
- Write the final answer in simplified form.
- 2 * \sqrt(10) * x^2 * y^4