Question

If x = √2-1 find the value of x square + 1/x square

Answer 1

x= √2-1 then 1/x=1/√2-1

then rationlise  1/x = 1/√2-1*√2+1/√2+1

√2-1/√2²-1²=√2-1

x  + 1/x = √2-1+√2-1=2(√2-1)