SOLUTION: Simplify 3√2/54 I pushed alt 251 to make a square root key. Thank you

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Question 813297: Simplify
3√2/54
I pushed alt 251 to make a square root key.
Thank you
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
I can't tell whether you meant

3%2Asqrt%282%29%2F54 

or 

3%2Asqrt%282%2F54%29

because there are no parentheses to show which you meant.

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If you meant

3%2Asqrt%282%29%2F54

Just divide top and bottom by 3 and get
 
1
cross%283%29%2Asqrt%282%29%2Fcross%2854%29%22%22=%22%22sqrt%282%29%2F27 
27

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If you meant

3%2Asqrt%282%2F54%29

Then reduce the fraction 2%2F54 to 1%2F27

3%2Asqrt%281%2F27%29

Then take individual square roots of numerator and denominator:

3%2Aexpr%28sqrt%281%29%2Fsqrt%2827%29%29

3%2Aexpr%281%2Fsqrt%2827%29%29

3%2Fsqrt%2827%29

Write 27 as 9·3

3%2Fsqrt%289%2A3%29%29

Take individual square roots of 9 and 3

3%2F%28sqrt%289%29%2Asqrt%283%29%29

3%2F%283%2Asqrt%283%29%29

  1
cross%283%29%2F%28cross%283%29%2Asqrt%283%29%29
  1

1%2Fsqrt%283%29

Now rationalize the denominator by multiplying by sqrt%283%29%2Fsqrt%283%29

1%2Fsqrt%283%29%22%22%2A%22%22sqrt%283%29%2Fsqrt%283%29

%281%2Asqrt%283%29%29%2F%28sqrt%283%29%2Asqrt%283%29%29

Multiply under the radicals in the bottom:

sqrt%283%29%2Fsqrt%289%29

sqrt%283%29%2F3    <-- final answer in simplest radical form

Edwin