SOLUTION: If the area of a square garden is 48 square feet, what is the length, in feet, of one side of the garden?

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Question 104618: If the area of a square garden is 48 square feet, what is the length, in feet, of one side of the garden?
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the area of the square is
__________________________________A=x%5E2
where x=lengthy of one side
Here, A=48. Thus,
_________________________________48=x%5E2
__________________________________x=sqrt%2848%29
If you apply the prime factorization to 48,
________________________________48=2%5E4%2A3
Continuing,
__________________________________x=sqrt%282%5E4%2A3%29
__________________________________x=sqrt%282%5E4%29+%2A+sqrt%283%29
__________________________________x=2%5E2+%2A+%28sqrt%283%29%29
__________________________________x=4+sqrt%283%29
Therefore, one side measures 4+sqrt%283%29 ft.

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