What's the square root of 625?

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Answer 1 · 2018-03-18T20:33:32

$25$ $25$

split into prime factors

$\sqrt{625}$ $sqrt625$

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

$625 = 5 \times 5 \times 25$ $625=color(red)(5)xxcolor(blue)(5xx25)$

$625 = 5 \times 5 \times 5 \times 5 =$ $625=color(red)(5xx5)xxcolor(blue)(5xx5)=$ 25 $5^{4}$ $5^4$

#to square root half the power

$\sqrt{625} = {\sqrt{5}}^{4} = 5^{2} = 25$ $sqrt625=sqrt5^4=5^2=25$