How do you simplify #sqrt(.0001)#?

1 Answer
Jan 24, 2016

Answer:

#sqrt(0.0001) = 0.01#

Explanation:

Using the properties of square roots that

  • #sqrt(a/b) = sqrt(a)/sqrt(b)# if #a >= 0#, #b > 0#
  • #sqrt(a^2) = |a|# for #a in RR#

we have

#sqrt(0.0001) = sqrt(1/10000)#

#= sqrt(1)/sqrt(10000)#

#= sqrt(1^2)/sqrt(100^2)#

#=|1|/|100|#

#= 1/100#

#= 0.01#