# What is the square root of 3?

May 5, 2018

$\sqrt{3} = 1.732050808$

#### Explanation:

If this is a direct question without involving proving, solving & etc, by using a calculator, it'll show that the exact value of $\sqrt{3} = 1.732050808$.

May 5, 2018

$\sqrt{3} = 1.7321$

#### Explanation:

The square root of a number is a value that, when multiplied by itself, gives the number. For $3$, that number is $1.7321$.

$\sqrt{3} = 1.7321$

You can check this by squaring the square root to see if it is $3$:

${1.7321}^{2} = 3.00017041$

Since I rounded the square root, the square it is not exactly $3$, but $3.0002$ is very close.

May 5, 2018

$\sqrt{3}$ = 1.732 (Assuming the answer upto 3 decimal places)

#### Explanation:

NOTE : I have done this using the Long Division Method. To know more about this method https://www.khanacademy.org/math/arithmetic-home/multiply-divide/mult-digit-div-2/v/division-2.

Here is an image that will help you with how I calculated $\sqrt{3}$ but only upto 3 decimal places.