How do you simplify # sqrt 3 times sqrt6#?

1 Answer
May 27, 2018

Answer:

#sqrt3sqrt6=color(blue)(3sqrt2#

Explanation:

Simplify:

#sqrt3sqrt6#

Apply rule: #sqrtasqrtb=sqrt(ab)#

#sqrt3sqrt6=sqrt(3xx6)=sqrt18#

Prime factorize #sqrt18#.

#sqrt18=sqrt(2xx3xx3)#

Write the prime factors in exponent form.

#sqrt18=sqrt(2xx3^2)#

Apply rule: #sqrt(a^2)=a#

#sqrt18=3sqrt2#