Question 149243
{{{5/(sqrt(3)+sqrt(5))}}}
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To "rationalize" means to get rid of those square root signs in the denominator.
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Start by multiplying numerator and denominator by:
{{{(sqrt(3)-sqrt(5))/(sqrt(3)-sqrt(5))}}}
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So we have:
{{{5/(sqrt(3)+sqrt(5))}}}* {{{(sqrt(3)-sqrt(5))/(sqrt(3)-sqrt(5))}}}
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For the numerator we have: {{{5(sqrt(3)-sqrt(5))}}}
For the denominator we have: {{{3-5}}} = 2
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Or
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{{{(5(sqrt(3)-sqrt(5)))/2}}}
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Or
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{{{(5sqrt(3)-5sqrt(5))/2}}}