Answer
5.657
Work Step by Step
$\sqrt {32}\approx6$
Divide and average to refine the approximation.
$32\div6=5.333$
$(6+5.333)\div2=5.667$
Repeat to further refine.
$32\div5.667=5.647$
$(5.667+5.647)\div2=5.657$
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