Find the least number that 1331 should be divided by to make it a perfect square?
Answers
Step-by-step explanation:
It will multiplied by 11 the product will be 14641 square root 121
Answer:
Square Root of 1331: 36.4828726939094
Step-by-step explanation:
Forming pairs: 13 and 31
Find a number Y (3) such that whose square is <= 13. Now divide 13 by 3 with quotient as 3.
Bring down the next pair 31, to the right of the remainder 4. The new dividend is now 431.
Add the last digit of the quotient (3) to the divisor (3) i.e. 3 + 3 = 6. To the right of 6, find a digit Z (which is 6) such that 6Z × Z <= 431. After finding Z, together 6 and Z (6) form a new divisor 66 for the new dividend 431.
Divide 431 by 66 with the quotient as 6, giving the remainder = 431 - 66 × 6 = 431 - 396 = 35.
Now, let's find the decimal places after the quotient 36.
Bring down 00 to the right of this remainder 35. The new dividend is now 3500.Add the last digit of quotient to divisor i.e. 6 + 66 = 72. To the right of 72, find a digit Z (which is 4) such that 72Z × Z <= 3500. Together they form a new divisor (724) for the new dividend (3500).
Divide 3500 by 724 with the quotient as 4, giving the remainder = 3500 - 724 × 4 = 3500 - 2896 = 604.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 1331.Therefore, the square root of 1331 by long division method is 36.4 approximately.