The Bakhshali Manuscript shows that another method for calculating nonperfect squares was being used in India by 400 CE. Use this method to find the approximate value of .
Answer
The nearest perfect square that is less than 22 is , whose square root is .:
16
The nearest perfect square that is less than 22 is , whose square root is .:
4
Calculate the quantity one-half times the square of divided by the value found in step 2, or 4.75.:
0.06
Subtract the value found in step 3 from the value found in step 2, or 4.75.The approximate value of is .: