Question 232906
2 minus the square root of 5
divided by 16 minus the square root of 5.
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{{{(2-sqrt(5))/(16-sqrt(5))}}}
Multiply NUM and DEN by the conjugate of the DEN
= {{{(2-sqrt(5))*(16+sqrt(5))/((16-sqrt(5))*(16+sqrt(5)))}}}
= {{{(2-sqrt(5))*(16+sqrt(5))/231}}}
= {{{(32 - 5 - 14sqrt(5))/231}}}
= {{{(27 - 14sqrt(5))/231}}}
ALWAYS multiply by the conjugate of the denominator.