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Mathematics 55 Online
OpenStudy (anonymous):

How do you simplify the equation below?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

take the square root of each term

OpenStudy (anonymous):

How..

OpenStudy (anonymous):

\[\sqrt{27}\] is how much??

OpenStudy (anonymous):

5.196152423

OpenStudy (campbell_st):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@campbell_st?

OpenStudy (campbell_st):

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

OpenStudy (campbell_st):

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

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