Question

Find the square root of 2 correct upto 3 decimal places

Answer 1

✓2=1.414. This is square root of 2 correctly upto 3 decimals.

Answer 2

$\bold{\sqrt{2}=1.414}$

Solution:

Square root symbol is known as radical. Using square root symbol we only get positive or zero result.

Perfect squares are also called square numbers which are squares of integers. Square roots of negative numbers can be calculated using complex number.

$\begin{array}{l}{\sqrt{n}=n^{2}} \\ {\sqrt{n^{2}}=n}\end{array}$

Example: $\sqrt{7}=7^{2}=49$

Similarly in our current question we have, $\sqrt{2}=1.414$

Because $\sqrt{1.414}=1.414 \times 1.414=2.00$ (approx).

To calculate the $\bold{\sqrt{2}}$ up to three decimal places we get 1.414.