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Find the value of a and b in 5+√3/7−4√3=a+b√3
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2 votes
Find the value of a and b
in
5+√3/7−4√3=a+b√3

User Andy Miller
by
5.1k points

1 Answer

5 votes

Answer:

  • a = 47, b= 27

Explanation:

  • (5 +√3)/(7 − 4√3) = a + b√3
  • (5 + √3)(7 + 4√3)/(7 − 4√3) (7 + 4√3) = a + b√3
  • (35 + 4√3² + 20√3 + 7√3)/(49 - 48) = a + b√3
  • 35 + 12 + 27√3 = a + b√3
  • 47 + 27√3 = a + b√3
  • a = 47, b= 27
User Michael Damatov
by
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