Question

simplify 3aqrt(50)-2sqrt(72)+sqrt(24)

Answer 1

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Answer 2

3~(50)-2~(72)+~(24)

(3*5~(2))-2~(72)+~(24)

(15)~(2)-2~(72)+~(24)

15~(2)-2~(72)+~(24)

15~(2)+(-2*6~(2))+~(24)

15~(2)+(-12)~(2)+~(24)

15~(2)-12~(2)+~(24)

15~(2)-12~(2)+2~(6)

3~(2)+2~(6)

Answer 3

Convert each part into surd form.
3sqrt(50) =3*(sqrt25*2) = 3* 5sqrt(2) = 15 sqrt(2)
-2sqrt(72) = -2*sqrt(8*9) = -2*3sqrt(8) = -2*3*2 sqrt(2) = -12 sqrt(2)
sqrt(24) = sqrt(6*4) = 2*sqrt(6)
Now gather terms15 sqrt (2) -12 sqrt(2) = 3 sqrt(2) +2 sqrt(6)

Answer = 3 sqrt(2) +2 sqrt(6)