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−3√27−2√2−3√45−√18 simplify

User Phaethon
by
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2 Answers

6 votes
the answer is -9√3−5√2−9√5.
User NibblyPig
by
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2 votes

Answer:

Explanation:

Prime factorize 27 , 45 and 18


-3√(27)-2√(2)-3√(45)-√(18)=-3√(3*3*3)-2√(2)-3√(3*3*5)-√(3*3*2)\\\\=-3*3√(3)-2√(2)-3*3√(5)-3√(2)\\\\=-9√(3)-2√(2)-9√(5)-3√(2)\\\\=-9√(3)-9√(5)-2√(2)-3√(2)\\\\=-9√(3)-9√(5) + (-2-3)√(2)\\\\=-9√(3)-9√(5) - 5√(2)