What is the simplified square root of 72?

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Answer 1 · 2015-04-22T23:17:37

Note that $72 = 4xx18 = 4xx9xx2$

$sqrt72 = 4xx18 = 4xx9xx2= 2^2xx3^2xx2$

$=sqrt(2^2 . 3^2 . 2$

$= (2)(3)sqrt2$

$= 6sqrt2$

Much simpler approach.

$sqrt72 = sqrt(36xx2)$

$=sqrt(6^2xx2)$

$= 6sqrt2$