The value of √(3 - 2√2) is A. √3 - √2 B. √3 + √2 C. √5 + √6 D. none of these

Question

The value of \(\sqrt{3-2\sqrt2}\) is

A. \(\sqrt3\) - \(\sqrt2\)

B. \(\sqrt3\) + \(\sqrt2\)

C. \(\sqrt5\) + \(\sqrt6\)

D. none of these

Answer 1

\(\sqrt{3-2\sqrt2}\)

(try to break the terms in form of (a+b)² or (a – b )²)

√(√2)²+ 1² – 2 ×√2×1) = √(√2-1)² = √2 – 1.