Question

find the square root of 25/12 correct to 3 decimal places

Answer 1

hey just divide 25 by 12 then you get 2. 083 now just do square root of 2.083 then you get 1.443

Answer 2

The value of $\bold{\sqrt{\left(\frac{25}{12}\right)}}$ is 1.443 by correcting it to 3 places of decimal.

Solution:

To find square root of number first need to simplify the fraction and then convert it into decimal, which is followed by division or multiplication as given.

So let us root the fraction first $\sqrt{\left(\frac{25}{12}\right)}=\frac{5}{\sqrt{12}}=\frac{5}{2 \sqrt{3}}$

Now as you can see the value have been broken down to simple numbers, now most of us know that $\sqrt{3}=1.7320$

$\begin{array}{l}{\frac{5}{2 \times 1.7320}=\frac{5}{3.4641}} \\ \\{\frac{5}{3.4641}=1.4433}\end{array}$

Therefore as we can see the $4^{th}$ digit in the decimal is less than 5.

By correcting it to three decimal places we get the answer as 1.443.