RD Sharma Solutions class 10 Exercise 5.2 Trigonometric Ratios Question 4

RD Sharma Solutions class 10 Exercise 5.2 Trigonometric Ratios Question 4

Finding Square root of Perfect Square Decimal Numbers by Division Method

While finding the square root of a natural number, say, 46656, you make pairs by counting from right to left and if in the last, one digit is left, you leave it by itself. For example, while finding the square root of 276676 and 46656, we form pairs as under:

    
27 66 76
    
4  66  56

In case of a decimal number, we count from left to the right for the decimal portion and from right to the left for the integral portion.
If the last period of the decimal number contains only one figure we may add zero to it. This is because two digits are necessary to make up a period, while the addition of a zero at the right of a decimal figure does not change its value. For example, while finding the square roots of 0.00002601, 998.56 the periods will be formed as under:

              
0.00 00 26 01, 4 92.84

The square root of a decimal number will contain as many decimal places as there are periods, or half as many decimal places as the given number.
The operations in obtaining the square root of a decimal number are the same as for whole numbers.