# Write in ascending order: 3?2,2?8,?50,4,4?3

Write all the numbers as square roots under one radical.
$3\sqrt2=\sqrt9\times\sqrt2=\sqrt{18}$
$2\sqrt8=\sqrt4\times\sqrt8=\sqrt{32}$
$\sqrt{50}=\sqrt{50}$
$4=\sqrt{16}$
$4\sqrt3=\sqrt{16}\times\sqrt3=\sqrt{48}$

Since 16<18<32<48<50
$\Rightarrow \sqrt{16}<\sqrt{18}<\sqrt{32}<\sqrt{48}<\sqrt{50}$
$\Rightarrow 4<3\sqrt2<2\sqrt8<4\sqrt3<\sqrt{50}$
Hence the given numbers in ascnding order are
$\Rightarrow 4,3\sqrt2,2\sqrt8,4\sqrt3,\sqrt{50}$

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