the ✓ means square root
√(14 + 8√3) =
√(2(7 + 4√3)) =
√2√(7 + 4√3) =
√2√(4 + 4√3 + 3) =
√2√(2 + √3)^2 =
√2(2 + √3) =
2√2 + √6
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Answers & Comments
√(14 + 8√3) =
√(2(7 + 4√3)) =
√2√(7 + 4√3) =
√2√(4 + 4√3 + 3) =
√2√(2 + √3)^2 =
√2(2 + √3) =
2√2 + √6