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√2 is not a root of equation x² + 2x - 4 = 0.
Step-by-step explanation:
Let p(x) = x² + 2x - 4 = 0
If √2 is a root of the equation then,
p(√2) = 0
=> (√2)² + 2×√2 - 4 ≠ 0
=> 2 + 2√2 - 4 ≠ 0
=> 2√2 - 2 ≠ 0
So, √2 is not a root of equation x² + 2x - 4 = 0.
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