SOLUTION: What value of x satisfies the following equation: {{{sqrt (48) + sqrt (27) = sqrt (48+27) + sqrt(x)}}}

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Question 875627: What value of x satisfies the following equation: sqrt+%2848%29+%2B+sqrt+%2827%29+=+sqrt+%2848%2B27%29+%2B+sqrt%28x%29
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt (48) + sqrt (27) = sqrt (48+27) + sqrt(x)
sqrt(x)=sqrt(16*3)+sqrt(9*3)-sqrt(75)
sqrt(x)=4sqrt(3)+3sqrt(3)-5sqrt(3)
sqrt(x)=2sqrt(3)
x=4*3 Square each side of the equation.
x=12
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Ed