simplify - #sqrt(12)xx sqrt(18)# ?

1 Answer
Apr 14, 2018

#-6sqrt6#

Explanation:

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

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

#"using this law to simplify the radicals"#

#sqrt12=sqrt(4xx3)=sqrt4xxsqrt3=2sqrt3#

#sqrt18=sqrt(9xx2)=sqrt9xxsqrt2=3sqrt2#

#rArr-sqrt12xxsqrt18#

#=-2sqrt3xx3sqrt2#

#=(-2xx3)xxsqrt3xxsqrt2#

#=-6sqrt6#