+0

# What is the simplest form of the radical expression

0
56
1
+1015

What is the simplest form of the radical expression

AngelRay  May 26, 2018

#1
+6979
+1

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

Therefore the fourth option is the answer.

MaxWong  May 26, 2018
#1
+6979
+1
$$\quad\sqrt{75x^3y^6}\\ =\sqrt{75}\cdot\sqrt{x^3}\cdot\sqrt{y^6}\\ =\sqrt{25}\cdot\sqrt3\cdot(x\cdot\sqrt{x})\cdot(y^3)\\ =5xy^3\sqrt{3x}$$