If a= 5+2 underroot6 then find the value of a square+ 1/A square
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Here,
a = 5 + 2√6 b = 1/a =1 /( 5 + 2√6)
=(5 -2√6)/(5+2√6)(5 -2√6)
=(5 - 2√6)/{5² -(2√6)²}
=(5 -2√6)/(25 -24) =5 -2√ 6
Now,
a² + b² = (a + b)² -2ab
=(5 +2 √6)^2-2(5+2√6)(5-2√6)
=(10)^2-2(25-24)
=100-2
=98
Hence,The answer is 98.
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