Question

Simplify the expression. Write any variables in alpha \sqrt(40x^(4)y^(8))

Answer 1

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