How do you simplify #-3sqrt2+3sqrt20-3sqrt8#?
1 Answer
Apr 10, 2017
Explanation:
Using the
#color(blue)"law of radicals"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(sqrt(ab)hArrsqrtaxxsqrtb)color(white)(2/2)|)))#
#rArrsqrt20=sqrt(4xx5)=sqrt4xxsqrt5=2sqrt5#
#"and " sqrt8=sqrt(4xx2)=sqrt4xxsqrt2=2sqrt2#
#rArr-3sqrt2+3sqrt20-3sqrt8#
#=-3sqrt2+3(2sqrt5)-3(2sqrt2)#
#=-3sqrt2+6sqrt5-6sqrt2#
#=6sqrt5-9sqrt2larrcolor(red)" collect like terms"#
