how to to find the square root step by step of 392
Answers
Answer:
14√2
LCM of 392
then
The one who is left alone, put it in the root.
The square root of 392, (or root 392), is the number which when multiplied by itself gives the product as 392. Therefore, the square root of 392 = √392 = 14 √2 = 19.79898987322333.How to Find Square Root of 392?
Forming pairs: 03 and 92
Find a number Y (1) such that whose square is <= 3. Now divide 03 by 1 with quotient as 1.
Bring down the next pair 92, to the right of the remainder 2. The new dividend is now 292.
Add the last digit of the quotient (1) to the divisor (1) i.e. 1 + 1 = 2. To the right of 2, find a digit Z (which is 9) such that 2Z × Z <= 292. After finding Z, together 2 and Z (9) form a new divisor 29 for the new dividend 292.
Divide 292 by 29 with the quotient as 9, giving the remainder = 292 - 29 × 9 = 292 - 261 = 31.
Now, let's find the decimal places after the quotient 19.
Bring down 00 to the right of this remainder 31. The new dividend is now 3100.
Add the last digit of quotient to divisor i.e. 9 + 29 = 38. To the right of 38, find a digit Z (which is 7) such that 38Z × Z <= 3100. Together they form a new divisor (387) for the new dividend (3100).
Divide 3100 by 387 with the quotient as 7, giving the remainder = 3100 - 387 × 7 = 3100 - 2709 = 391.
Bring down 00 again. Repeat above steps for finding more decimal places for the square root of 392.
Therefore, the square root of 392 by long division method is 19.7 approx