Answered By Emily H

To solve this problem, you should begin by factoring the values under each root sign:

75 = 3(25)

108 = 3(36)

147 = 3(49)

From this, you can take the factors which are perfect squares out from under the root sign, which will give you the following:

  $\sqrt{75}=5\sqrt{3}$√75=5√3  

 $\sqrt{108}=6\sqrt{3}$√108=6√3 

 $\sqrt{147}=7\sqrt{3}$√147=7√3 

Now, you can collect like terms, giving you

 $\left(5-6-7\right)\sqrt{3}$(5−6−7)√3 

 $=-8\sqrt{3}$=−8√3