What is square root of 0.003 + cube root of 0.000125?

2 Answers
Sep 21, 2015

Answer:

#0.053#

Explanation:

#0.000125=0.05*0.0025=0.05*0.05*0.05=0.05^3#
#root(3)0.000125=root(3)0.05^3=0.05#
#root(3)0.000125+0.003=0.05+0.003=0.053#

Sep 21, 2015

Answer:

#0.1sqrt0.3+0.05~~0.10477225575#

Explanation:

#sqrt0.003+root(3)0.000125#

#=sqrt0.003+root(3)(125*0.000001)#

#=sqrt0.003+root(3)(5^3*0.01^3)#

#=sqrt0.003+(5)(0.01)#

#=sqrt0.003+0.05#

#=sqrt(3*0.001)+0.05#

#=sqrt(3*0.1^3)+0.05#

#=color(red)(0.1sqrt0.3+0.05)#

You won't be able to simplify that any further since there are no more perfect square factors of #0.3#. However, if you are using a calculator, you can easily solve this problem. You should get approximately #0.10477225575#.