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- Thread starter CSmith
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- Jan 26, 2012

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It's a little hard to follow your work but the final answer is correct!1.) 8 3/2

=(81/2)3

=(2 squareroot_{ 8)2 (2 square root 2x2x2)3 =(2 square root )3 =2 square root x 2 square root x 2 square root=8 (2 square root) =16 square root 2}

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- Jan 26, 2012

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The final answer to that problem is 4. There's no reason to write it as 2^2.how do i know when the answer should be in square root form like 16 square root 2 or when it is suppose to be in powers like my answer for 32 2/5 when the answer was 2^2.

With square roots, you simplify as much as you can until you are left with a prime number, so you must keep the square root sign or use a decimal approximation, which is not preferred. If you have something like \(\displaystyle \sqrt{20}\) then you can simplify it but there will be a square root in the final answer.

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True so far as it goes. An engineering professor is not necessarily going to want a highly complicated but exact answer when an easy-to-understand decimal approximation helps the bridge get built more easily.The final answer to that problem is 4. There's no reason to write it as 2^2.

With square roots, you simplify as much as you can until you are left with a prime number, so you must keep the square root sign or use a decimal approximation, which is not preferred. If you have something like \(\displaystyle \sqrt{20}\) then you can simplify it but there will be a square root in the final answer.