Question

find the value of
$\sqrt{10}$
upto 3 decimal places by using long division method
​

Answer 1

In the above expression, you can see that the square number is not available on the right-hand side. So, the square root of 10 can be written as;

10−−√=2×5−−−−√

We cannot take the square term out of the root, because it has no square terms and it is written as,

10−−√=2–√5–√

The above expression is the radical form of 10−−√. If we want to write it in decimal form, put the values of 2–√ and 5–√ which is approximately equal to 1.414 and 2.236 respectively. Hence,

10−−√ = 1.414 × 2.236

10−−√ = ±3.162 approximately