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# What is the simplest form of the radical expression

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What is the simplest form of the radical expression

May 26, 2018

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$$\quad\sqrt{75x^3y^6}\\ =\sqrt{75}\cdot\sqrt{x^3}\cdot\sqrt{y^6}\\ =\sqrt{25}\cdot\sqrt3\cdot(x\cdot\sqrt{x})\cdot(y^3)\\ =5xy^3\sqrt{3x}$$

Therefore the fourth option is the answer.

May 26, 2018

$$\quad\sqrt{75x^3y^6}\\ =\sqrt{75}\cdot\sqrt{x^3}\cdot\sqrt{y^6}\\ =\sqrt{25}\cdot\sqrt3\cdot(x\cdot\sqrt{x})\cdot(y^3)\\ =5xy^3\sqrt{3x}$$