How do you find a perfect square and simplify $sqrt(50)$ ?

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Answer 1 · 2015-04-08T12:43:37

Factor $50$ and look for terms that show up an even number of times (a pair of such terms form a perfect square)>

$50$
$=2xx 25$
$=2xx5 xx5$
no further factorization is possible

$5xx5$ form a perfect square ( $25$ )

$sqrt(50)$ can be written as $sqrt(25)*sqrt(2)$
$= 5sqrt(2)$

How do you find a perfect square and simplify sqrt(50)sqrt(50)?