Question

simplify √(3+2√2) - √(3-2√2)

Answer 1

√(3+2√2)-√(3-2√2)
(√2+1)-(√2-1)
(√2)^2-(1)^2
2-1
1

Answer 2

$\sqrt{3 + 2 \sqrt{2} } - \sqrt{3 - 2 \sqrt{2} } \\ square \: the \: equation \: by \\ it \: will \: be \: opened \: in \: the \: form \: of \:{a + b}^{2} \\ then \: the \: resultant \: will \: be \\ 3 + 2 \sqrt{2 } + 3 - 2 \sqrt{2} - 2 \sqrt{3 + 2 \sqrt{2} } \times \sqrt{3 - 2 \sqrt{2} } \\ we \: see \: that \: the \: last \: term \: follows \: {a}^{2} - {b}^{2} \\ we \: get \\ 6 - 6 + 8 = 8$