# How do you find the square root of 500?

##### 2 Answers

the answer is

#### Explanation:

We get

#### Explanation:

As the given number is not a perfect square, the square root of this number will be a decimal number.

We must, therefore, state the accuracy to which the square root is to be calculated.

Suppose we need to calculate the

Step 1. Make pairs of digits starting from Units place.

we get

Step 2. Consider the unpaired digit and calculate the nearest digit which is just lower than the square root of this digit. We consider

We get first digit of the answer. Workout the remainder which

Step 3. Place highest digit in units place of divisor to make the divisor which will divide dividend

Complete the division. Nearest digit is

Step 4. Next we have decimal in the original number. Place it after the quotient

Continue steps till three places of decimal.

We see that in the Step 5. Number remaining is

#2|bar(5bar00.bar(00)\ bar(00)\ bar00\ bar00(22.360#

#ul(2|4)\darr#

#42|100#

#ul(\ 2|" "84)darr#

#443|1600#

#ul(" "3|1329)darr#

#4466|27100#

#ul(" "6|26796)darrdarr#

#44820|3040000#

#ul(" "0" ")#