Question

which is smaller, root 2 - 1, or root 3 - root 2??

Answer 1

$\sqrt{2} - 1 \\ = 1.41 - 1 \\ = 0.41 \: \: \: \: \: ................(i) \\ \\ \: and...... \\ \sqrt{3} - \sqrt{2} \\ = 1.73 - 1.41 \\ = 0.32 \: \: \: \: \: .............(ii)$
from equation no. 1 and 2 we get that
√3-√2. is smaller than. √2-1

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