# What is the square root of 0.000000000000000000000000000000023?

Sep 18, 2015

Well...I am not sure about where did you find this number but...I found: $1.5 \times {10}^{-} 16$

#### Explanation:

$0.000000000000000000000000000000023$
can be written as:
$\frac{230}{10} ^ 34$
taking the square root you get:
$\sqrt{\frac{230}{10} ^ 34} = \sqrt{\frac{230}{{\left({10}^{17}\right)}^{2}}} = \frac{\sqrt{230}}{10} ^ 17 =$
considering that: ${15}^{2} = 225$
let us assume that $\sqrt{230} \approx 15$
so finally you get:
$\approx \frac{15}{10} ^ \left(17\right) = 15 \times {10}^{-} 17 = 1.5 \times {10}^{-} 16$