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If 2+√3/2-√3= a+b√3 Find a and b ​

1 Answer

3 votes

Answer:

  • a = 7, b = 4

Explanation:

Simplify the left side:

  • (2 + √3)/(2 - √3) =
  • (2 + √3)(2 + √3)/(2 + √3)(2 - √3) =
  • (4 + 4√3 + 3)/(4 - 3) =
  • 7 + 4√3

Compare with the right side:

  • a = 7, b = 4
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