SOLUTION: simplify {{{sqrt(2)sqrt(3)}}}

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Question 117121: simplify
sqrt%282%29sqrt%283%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282%29sqrt%283%29 Start with the given expression.



sqrt%282%2A3%29 Combine the roots using the identity sqrt%28x%29sqrt%28y%29=sqrt%28x%2Ay%29.



sqrt%286%29 Multiply


So sqrt%282%29sqrt%283%29 simplifies to sqrt%286%29. In other words, sqrt%282%29sqrt%283%29=sqrt%286%29


Check:

If we evaluate sqrt%282%29sqrt%283%29 with a calculator, we get

sqrt%282%29sqrt%283%29=2.44948974278318

and if we evaluate sqrt%286%29 with a calculator, we get

sqrt%286%29=2.44948974278318


Notice how these evaluate to the same value. So this shows that sqrt%282%29sqrt%283%29=sqrt%286%29 and this verifies our answer.