Mathematics for IGCSE & O level - Surds (Section 1 - No. 14)

If x=√2+1, what is x^2-2x+1?

2

1

√2

0

Explication

x^2-2x+1 = (x-1)^2. If x = √2+1, then (x-1) = √2. (√2)^2 = 2.

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