Find y if root12 -root 147+yroot3=0

2 answers

y sqrt 3 = sqrt 147 - sqrt 12
3 y^2 = 147 - 2 sqrt(1764) + 12 = 159 - 2*42 = 75
y^2 = 25
y = + or - 5
only one of those choices works in the original
√12 - √147 + y√3 = 0
2√3 - 7√3 + y√3 = 0
2-7+y = 0
y = 5
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