Rationalize the denominator of 5/(3 - sqrt(3)), and write your answer in the form (A + B*sqrt(3))/C where the fraction is in lowest terms. What is A + B + C?
+1511
Rationalize the denominator of 5/(3 - sqrt(3)), and write your answer in the form (A + B*sqrt(3))/C where the fraction is in lowest terms. What is A + B + C?
5 / (3 – sqrt(3))
Multiply both top and bottom by (3 + sqrt(3))
to get the difference of squares in the denom.
[ 5 / (3 – sqrt(3)) ] • [ (3 + sqrt(3)) / (3 + sqrt(3)) ]
result 5 • (3 + sqrt(3)) / (9 – 3)
15 + 5sqrt(3) / 6
A = 15 B = 5 C = 6
A+B+C = 15 + 5 + 6 = 26
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