Question

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

Answer 1

`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`