If √3=1.732 then find value of √27+√75+√105-√243

Question

If x2 – 3x + 1 = 0, then find the value of x5 + 1/x5.

Answer 1

8.515

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√27+√75+√105-√243= 3√3+5√3+√105-9√3=√105-√3=10.247-1.732=8.515