SOLUTION: simplify the expression {{{ sqrt(2)+ sqrt(1/2) }}}

Question 457246: simplify the expression

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The general rule of thumb is that you do not leave a radical in the denominator.
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In this problem, you can begin by changing the to its equivalent form:
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When you substitute this into the original expression, it becomes:
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To add these two terms together they must both have a common denominator. You can make this happen by multiplying the first term by as follows:
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Multiplying out the numerator in the first term results in just 2. When you substitute this the expression becomes:
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Since both terms have a common denominator, you can now add the numerators and place that sum over the common denominator.
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But and this can be substituted into the expression to get:
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And performing the addition in the numerator results in:
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As stated early in this problem, the usual practice is to not leave a radical in the denominator. You can get rid of the radical in the denominator by multiplying this fraction by .
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The numerator becomes and the denominator is which multiplies out to 2. Substituting these two results into the expression gives:
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And that is the answer.
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Hope this helps you to understand the problem.
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