Fine what will be the square root of 12 upto 3 decimal places
Answers
Answer:
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Step-by-step explanation:
The value of \bold{\sqrt{\left(\frac{25}{12}\right)}}
(
12
25
)
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}}
(
12
25
)
=
12
5
=
2
3
5
Now as you can see the value have been broken down to simple numbers, now most of us know that \sqrt{3}=1.7320
3
=1.7320
\begin{lgathered}\begin{array}{l}{\frac{5}{2 \times 1.7320}=\frac{5}{3.4641}} \\ \\{\frac{5}{3.4641}=1.4433}\end{array}\end{lgathered}
2×1.7320
5
=
3.4641
5
3.4641
5
=1.4433
Therefore as we can see the 4^{th}4
th
digit in the decimal is less than 5.
By correcting it to three decimal places we get the answer as 1.443.