Question 422140: what is (5radicand2 + 3radicand5)(2radicand10 - 5)
im helping my daughter and I can not fiqure this one out Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! (5radicand2 + 3radicand5)(2radicand10 - 5)
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(5sqrt(2)+3sqrt(5))(2sqrt(10)-5)
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= 5sqrt(2)[2sqrt(10)-5] + 3sqrt(5)[2sqrt(10)-5]
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= 10sqrt(20)-25sqrt(2) + 6sqrt(50) - 15sqrt(5)
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= 10*2sqrt(5)-25sqrt(2) + 6*5sqrt(2) - 15sqrt(5)
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= 20sqrt(5)-15sqrt(5) - 25sqrt(2)+30sqrt(2)
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= 5sqrt(5) + 5sqrt(2)
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= 5[sqrt(5)+sqrt(2)]
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Cheers,
Stan H
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