How do you simplify #3sqrt18-2sqrt6+2sqrt18#?

1 Answer
Apr 20, 2018

Answer:

#15sqrt2-2sqrt6#

Explanation:

#"using the "color(blue)"law of radicals"#

#•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)#

#rArrsqrt18=sqrt(9xx2)=sqrt9xxsqrt2=3sqrt2#

#"note "sqrt6larrcolor(blue)"is in simplest form"#

#rArr3sqrt18-2sqrt6+2sqrt18#

#=3xx3sqrt2-2sqrt6+2xx3sqrt2#

#=color(red)(9sqrt2)-2sqrt6color(red)(+6sqrt2)#

#=15sqrt2-2sqrt6#