Question

Assuming x and y are both positive, write the following expression in simplest radical form.

Answer 1

5x⁶y²√(xy)

Explanation:

You want the simplest radical form of x³y√(25x⁷y³).

Squares

The perfect squares can be removed from under the radical.

`x^3y√(25x^7y^3)=x^3y√((25x^6y^2)(xy))=x^3y√((5x^3y)^2)√(xy)\\\\=\boxed{5x^6y^2√(xy)}`

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