How do you simplify without a calculator the #sqrt(0.01)#?

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Answer 1 · 2018-03-03T19:51:26

The answer is #0.1#.

You can do an action, (then do some stuff with it) and then do it's opposite to cancel it back.

In this case, I'm going to multiply the radical by #10#, bring the #10# inside the radical, and then divide it all by #10#. Here's what happens:

#color(white)=sqrt0.01#

#=(color(red)10sqrt0.01)/color(red)10#

#=sqrt(0.01*10^2)/10#

#=sqrt(0.01*100)/10#

#=sqrt1/10#

#=1/10#

#=0.1#

That's the answer.