If 2=1.414, then 3+2 2 is equal to - Vidyadip

MCQ

If $\sqrt{2}=1.414$, then $\sqrt{3+2 \sqrt{2}}$ is equal to

A
2.441
✓
2.414
C
2.144
D
2.41

✓

Answer

Correct option: B.

2.414

(b)
$\sqrt{3+2 \sqrt{2}}=\sqrt{2+1+2 \sqrt{2}}=\sqrt{(\sqrt{2})^2+1^2+2 \sqrt{2}}=\sqrt{(\sqrt{2}+1)^2}=\sqrt{2}+1=1.414+1=2.414$

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