SOLUTION: √2/5

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Question 309960: √2/5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282%2F5%29 Start with the given expression.


sqrt%282%29%2Fsqrt%285%29 Break up the root.


%28sqrt%282%29%2Fsqrt%285%29%29%28sqrt%285%29%2Fsqrt%285%29%29 Multiply both the numerator and the denominator by sqrt%285%29


%28sqrt%282%29sqrt%285%29%29%2F%28sqrt%285%29sqrt%285%29%29 Combine the fractions


%28sqrt%282%29sqrt%285%29%29%2F%285%29 Multiply sqrt%285%29 and sqrt%285%29 to get 5


%28sqrt%282%2A5%29%29%2F%285%29 Combine the roots.


%28sqrt%2810%29%29%2F%285%29 Multiply


So sqrt%282%2F5%29=%28sqrt%2810%29%29%2F%285%29