How do you simplify the equation below?

Question

anonymous · Answer

$$\sqrt{27x ^{2}y} - \sqrt{45xy ^{2}} + \sqrt{108x ^{2}y} - \sqrt{125xy ^{2}}$$

anonymous · Answer

take the square root of each term

anonymous · Answer

How..

anonymous · Answer

$$\sqrt{27}$$ is how much??

anonymous · Answer

5.196152423

campbell_st · Answer

you can simplify by looking for squares inside the radicals

$$\sqrt{27x^2y} = \sqrt{9}\times \sqrt{3}\times \sqrt{x^2}\times \sqrt{y}$$

can you simplify this

anonymous · Answer

Is is $$\sqrt{135x ^{2}y}-\sqrt{170xy ^{2}}$$??

anonymous · Answer

@campbell_st?

campbell_st · Answer

$$\sqrt{27x^2y} = 9x \sqrt{3y}$$

campbell_st · Answer

you will need similar simplifications for 

$$\sqrt{45xY^2} = \sqrt{9}\times \sqrt{y^2}\times \sqrt{5x}$$

$$\sqrt{108x^2 y} = \sqrt{36}\times \sqrt{x^2}\times \sqrt{3y}$$

$$\sqrt{125xy^2} = \sqrt{25} \times \sqrt{y^2} \times \sqrt{5x}$$