Question

find the square root of 10 correct to 3 decimal place​

Answer 1

Answer:

The square root of 10 up to 3 decimal point is 3.162

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Answer 2

Answer:

Let us have a look into the squares of these numbers.

9 is the perfect square near to 10 and square root of 9 is 3. Hence, the perfect square of 10 is between 3 and 4.

Let us divide 10 by 3.  

By dividing 10 by 3, we get 3.3333.

We will have to work out average of 3 & 3.3333.

Average  

Now, dividing 10 by 3.1667, we get 3.1579.

We will have to work out average of 3.1667 & 3.1579.

Average  

(3.1623)2 = 10.0001 which is nearest to 10.