Question 207318
sqrt  32
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factors (square)  are 1, 4, 9, 16, 25, 36, ....
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the  largest  that  will  factor  into  32  is  16
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sqrt ( 16*2)
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but  this  also  equals,,,,sqrt 16*sqrt2,,,or  4*sqrt2,,which  is  our  answer,,,as  2  cannot  be  factored  by a  perfect  square.
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to  check,,,use  a  calculator, sqrt 32=5.657,,,4sqrt2=4*1.414= 5.657,,,,,ok