How do you simplify #3sqrt18-2sqrt6+2sqrt18#?
1 Answer
Apr 20, 2018
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#
