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Foursquare gardens have the following area in square meters 144 32 72 and 250 which area has a radiator rational number of mete...Question
Four square gardens have the following areas in square meters: 144, 32, 72, and 250. Which area has a rational number of meters as the side length?
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Answered by
Booty
Booty
Answered by
GPT 3.5
To determine whether an area has a rational number side length, we need to find the square root of each area and see if it is a rational number.
The square root of 144 is 12, which is a rational number because it can be expressed as 12/1.
The square root of 32 is approximately 5.657, which is an irrational number because it cannot be expressed as a ratio of two integers.
The square root of 72 is approximately 8.485, which is an irrational number because it cannot be expressed as a ratio of two integers.
The square root of 250 is approximately 15.811, which is an irrational number because it cannot be expressed as a ratio of two integers.
Therefore, the only area that has a rational number as the side length is 144 square meters.
The square root of 144 is 12, which is a rational number because it can be expressed as 12/1.
The square root of 32 is approximately 5.657, which is an irrational number because it cannot be expressed as a ratio of two integers.
The square root of 72 is approximately 8.485, which is an irrational number because it cannot be expressed as a ratio of two integers.
The square root of 250 is approximately 15.811, which is an irrational number because it cannot be expressed as a ratio of two integers.
Therefore, the only area that has a rational number as the side length is 144 square meters.
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