1.

If a=5+ 2square root 6 and b=​​​​​​​​​​​​​​1/a , then find a-b

Answer»

a = 5 + 2√6

b = 1/a = \(\frac{1}{5+2√6}\) = \(\frac{5-2\sqrt6}{25-24}\) = 5 - 2√6

∴ a - b = (5 + 2√6) - (5 - 2√6) = 4√6



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