Question

Find the square root  the following correct to three places of decimal. 

${\displaystyle 287\frac{5}{8}}$ 

 

Answer 1

We can find the square root up to four decimal places by expanding ${\displaystyle 287\frac{5}{8}}$ into decimal form up to eight digits to the right of the decimal point as shown below:

${\displaystyle 287\frac{5}{8}=287.625000000}$ 

Hence, we have:

So, the square root of ${\displaystyle 287\frac{5}{8}}$up to three decimal places is 16.960.