Question 67625: what is the answer to 2 root18 minus root27 plus root50 minus 2 root75 and how do you break down the radicals Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! what is the answer to 2 root18 minus root27 plus root50 minus 2 root75 and how do you break down the radicals.
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2sqrt18 - sqrt27 + sqrt50 - 2sqrt75
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To simplify sqrt# break # into two factors, one being the largest possible perfect square as follows, then take the sqrt of the number out of the radical:
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=2sqrt(9*2) - sqrt(9*3) + sqrt(25*2) - 2 sqrt(25*3)
=6sqrt2 - 3sqrt3 + 5 sqrt2 - 10sqrt3
=11sqrt2 - 13sqrt3
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Cheers
Stan H.
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