find the number of digits of the square root of the following numbers of 3481
Answers
Answer:
the square root of 3481 is 59
Step-by-step explanation:
→ Hence, the square root of 3481 is 59.
Hint: For finding the square root of the given number, first make pairs from the unit place. Now take the largest number whose square is equal to or just less than the number in the first bar from left. Now subtract the digit of the given number and the square of the number written in the quotient. Bring down the next pair. Then, take twice of the number taken in the first place and add the unit digit to that number such that when that unit digit is multiplied with the number formed, it is equal to less than the current dividend. Repeat the process till you get remainder as 0.
Complete step by step solution: We shall begin by making groups of 2 digits starting from the unit place.
Make the pair such as 34¯¯¯¯¯81¯¯¯¯¯, there are two pairs, the first pair has 34 and second pair is 81.
Now, take the divisor as the largest number whose square is equal to or just less than the first digit in the bar from the starting digits of the given number.
As 52=25<34 and 62=36>34
Therefore, our divisor is 5. Subtract the first pair from the square of 5 and then bring the next pair