How do you solve the square root of

258.75

The square root of 258.75 is

Solution:

Here we have to find the square root of 258.75. First we convert the decimal value into a fraction value. Converting 258.75 in fraction we get

Now we find the factors of 25875 and 100

Factors of 25875 =

Since we have to find the square root, we group two same numbers together and place them outside square root. Grouping two threes and two five’s we get square root of  

Now the factors of 100 =

The square root of 100 = = 10

Cancelling the numerator and denominator by 5, we get

Hence the square root of 258.75 is