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#