If a= 7- 4 √3 then find the value of a + 1/a
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7 -4√3
1/a = 1/( 7 -4√3) = (7-4√3)/(7-4√3)(7+4√3)
=(7+4√3)/(49-48) = (7+4√3)
so, √a = √( 7 -4√3)
= √(2²+√3²-2.2√3)
=√(2 -√3)² = ( 2 -√3)
same way ,
1/√a = √(2² +√3² +2.2√3)
=√(2+√3)²
=(2 +√3)
now ,
√a + 1/√a = (2 -√3) + (2 + √3)=4
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