What's the square root of 625?

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Answer 1 · 2018-03-18T20:33:32

$25$

split into prime factors

$sqrt625$

$625=color(red)(5)xxcolor(blue)(125)$

$625=color(red)(5)xxcolor(blue)(5xx25)$

$625=color(red)(5xx5)xxcolor(blue)(5xx5)=$ 25 $5^4$

#to square root half the power

$sqrt625=sqrt5^4=5^2=25$