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OpenStudy (anonymous):

Simplify

OpenStudy (anonymous):

\[\frac{\sqrt{6}}{\sqrt{2}} + \frac{3}{\sqrt{3}} + \frac{\sqrt{15}}{\sqrt{5}} +\frac{\sqrt{18}}{\sqrt{6}}\]

OpenStudy (anonymous):

Remember one thing: \[\large \color{green}{\frac{\sqrt{x}}{\sqrt{y}} = \sqrt{\frac{x}{y}}}\]

OpenStudy (anonymous):

So for first term apply this formula... and tell me what do you get..??

OpenStudy (anonymous):

@mathslover will suggest you to take the rationalization process I guess..

mathslover (mathslover):

\[\large{\frac{\sqrt{6}}{\sqrt{2}}=\sqrt{\frac{6}{2}}}\] \[\large{\sqrt{6}=\sqrt{3}}\] \[\large{\frac{3}{\sqrt{3}}}\]Now rationalizing the above expression

OpenStudy (anonymous):

Every term will contain 3 after solving Strange WOW..

OpenStudy (anonymous):

yes i get it, but then how do i simplify later

mathslover (mathslover):

sorry i meant : \(\frac{\sqrt{6}}{\sqrt{2}}=\sqrt{3}\)

OpenStudy (anonymous):

yes there are three terms like that and the other one 3/root 3

OpenStudy (anonymous):

What do you get show us first..

mathslover (mathslover):

|dw:1342950785620:dw|

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