How do you simplify #sqrt(a^3)#?

1 Answer
Jun 7, 2016

Answer:

It is #a^(3/2)#

Explanation:

#color(blue)"How and Why?"#

  • All you have to do is apply this rule: #sqrt{ a^m}=a^{frac{m}{n}}#
    (Assuming #a≥0#)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  • #sqrt(a^3)# is same as #sqrt(a^2)*sqrt(a)#

  • This can be simplified
    to #asqrta#

  • Which is then equal to #a^(3/2)#

#color(green)"Rule we applied should contain"#

#n# above #sqrt(a^m)#