2208 ARITHMETIC
Always begin at the decimal point to separate the number into periods.
If the number is not a perfect square, add periods of ciphers until the root has been found to the required decimal place.
We find the square root of a common fraction by taking the square root of both numerator and denominator. If either numerator or denominator is not a perfect square, change the fraction to an equivalent decimal and then take the square root of the decimal.
Find the square root of f .
i = .75 :^A +
64 Vl"= .86 + 166JIIOO 996
Find the square root of 6,780,816.
When a dividend does not contain a trial divisor, place 0 as the next figure in the root, and at the right of the trial divisor. Bring down the next period and proceed as before.
Rule for square root:
1. Beginning at the decimal point, separate the given number into periods of two figures each.
2. Find the greatest square in the left-hand period, and write its root above the period as the first figure of the root.
3. Subtract the square of this root figure from the left-hand period, and to the remainder annex the next period for a dividend.
4. Double the root already found for a trial divisor, and omitting the right-hand figure of the dividend, divide and write the quotient as the next figure of the root, and also at the right of the trial divisor to form the complete divisor.
5. Multiply the complete divisor by the new root figure, and subtract the product from the dividend.
6. If there is a remainder, annex the next period for a new dividend. Double the root already found for a trial divisor, and proceed as before.
tVVAA
4
46~~27B 276
5204 20816 20816
V6780816 = 2604
