SOLUTION: add or subtract and simplify -7√147-9√108-5√243 133√3 + 33√3 23√a + 3√27a

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Question 245601: add or subtract and simplify
-7√147-9√108-5√243
133√3 + 33√3
23√a + 3√27a

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
add or subtract and simplify
-7√147-9√108-5√243
= -7*sqrt(3*49) - 9*sqrt(3*36) - 5*sqrt(3^5)
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= -7*7sqrt(3) - 9*6sqrt(3) - 5*9sqrt(3)
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= (-49 - 54 - 45)sqrt(3)
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= -148sqrt(3)
============================
133√3 + 33√3 = 166sqrt(3)
============================
23√a + 3√27a
23sqrt(a) + 3*3sqrt(3a)
23sqrt(a) + 9sqrt(3a)
----------------------------
Cheers,
Stan H.

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