How do you simplify #10^3sqrt72#?

Question

1142 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-30T17:09:23

#=color(blue)(6000sqrt2#

#10^3sqrt(72)#

Prime factorising 72

#sqrt(72)=sqrt(3*3*2*2*2)#

#sqrt(72)=sqrt(3^2 *2^2 *2)#

#sqrt(72)=color(blue)(6sqrt(2)#

So,
#10^3sqrt(72) = 10^3(color(blue)(6sqrt(2)))#

#=1000*6sqrt2#

#=color(blue)(6000sqrt2#