What is that fraction which when multiplied by itself gives 227.798649?

Given: 

Given number is 227.798649.

To do: 

We have to find the fraction that when multiplied by itself gives 227.798649.

Solution:

Let the required fraction be $x$.

This implies,

$x^{2}=227.798649$

$x=\sqrt{227.798649}$

$=\sqrt{\frac{227798649}{1000000}}$

$x=\frac{\sqrt{227798649}}{\sqrt{1000000}}$

Therefore, the square root of 227798649 is,

	15093
1 1	227798649 1
25    5	127 125
3009      9	27986     27081
30183	90549         90549
	0

$x=\frac{\sqrt{227798649}}{\sqrt{1000000}}=\frac{15093}{1000}$ 

Hence, the fraction which when multiplied by itself gives 227.798649 is $\frac{15093}{1000}$ .