If √x = √3 - √5, then the value of x^2 - 16x + 6 is
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x^2 - 16x + 6
(√3-√5)^2 - 16(√3-√5) + 6
(3 + 5 - 2√15) -16√3 + 16√5 + 6=0
14 - 2√15 - 16√3 + 16√5 =0
2(7 - √15 - 8√3 + 8√5)=0
7 -√15 - 8√3 + 8√5 =0
the value of this polynomial is 7 - √15 - 8√3 + 8√5
hope it will help you
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