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.

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