Question 620260
Pllease help me solve this equation..express in simplest radical form 16 sqrt (21)/2sqrt (7) minus 5sqrt (12)
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No equation is shown.
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express in simplest radical form 16 sqrt (21)/2sqrt (7) minus 5sqrt (12)
{{{16sqrt(21)/(2sqrt(7) - 5sqrt(12))}}}
= {{{16sqrt(21)/(2sqrt(7) - 10sqrt(3))}}}
= {{{8sqrt(21)/(sqrt(7) - 5sqrt(3))}}}
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Multiply NUM and DEN by the conjugate of the DEN
= {{{8sqrt(21)*(sqrt(7) + 5sqrt(3))/((sqrt(7) - 5sqrt(3))*(sqrt(7) + 5sqrt(3)))}}}
= {{{(8sqrt(147) + 40sqrt(21))/(7 - 25*3)}}}
= {{{(56sqrt(3) + 40sqrt(21))/(-68)}}}
= {{{-(14sqrt(3) + 10sqrt(21))/17}}}