Question

Evaluate v3 up to two places of decimal​

Answer 1

Step-by-step explanation:

1. the number 3.0000 whose square root is to be calculated. We put the bar on the integral part of the number starting from the unit’s digit. This bar is placed in pairs. Similarly for decimal part, we put the bar on the pair of numbers starting from the digit which is immediately placed after the decimal. In this case it will be 3¯¯¯.00¯¯¯¯¯00¯¯¯¯¯

2. The divisor will be the maximum number whose square is less than or equal to the dividend that is the integral part of the number. In this case the divisor will be 1 and the dividend is 3. Divide and get the remainder.

3. The remainder in this case is 2 . Write the number which is in the next bar to the right side of the remainder. We get 200 .

4. Double the value of the divisor and enter it with a blank on its right. Since 00 is the decimal part of the number, put a decimal point in the quotient.

5. Now we have to select the largest digit for the unit place of the divisor ( 2 _) such that the new number when multiplied by the new digit at unit’s place is equal to or less than the dividend ( 200 ). As we can see that 27×7=189 , the new digit of the divisor is 7 and thus the divisor is 27 . Divide the number and get the remainder.

6. the remainder is 11 and 00 is left, therefore we get 110 0 . Double the value of the divisor and enter it with a blank on its right. Now we have to select the largest digit for the unit place of the divisor ( 34 _) such that the new number when multiplied by the new digit at unit’s place is equal to or less than the dividend ( 1100 ). As we can see that 343×3=1029 .write 3 above.

7. we get the desired result 3–√=1.73

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