Question

Squareroot 1736 long division

Answer 1

Answer:

Step-by-step explanation √1736 is to be separated into 17.36

The square before 17 is 4×4 so,write the first number as 4.square of 36 is 6 .so the answer is unknown

Answer 2

Group the digits into pairs (For digits to the left of the decimal point, pair them from right to left. For digits after decimal point, pair them from left to right).

Thus we have, 1736

Perform division as per steps shown below:

1.

Find the largest number whose square is less than or equal to the number in the leftmost group $(4^4 < 1^7 < 5^5).$ Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (17). Divide and get the remainder (1 in this case).

$\underline{ \: \: \: \: 4} \\ 4|1736 \\ | \underline{ - 16} \\ | \: \: \: \: \: \: \: 1$

2.

Bring down the next pair 36. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 81 × 1 = 81, so we choose the new digit as 1. Get the remainder.

$\underline{ \: \: \: \: \: 4} \\ \: \: \: \: \: 4| \: 1736 \\ + 4 | \: \:\underline{ - 16} \\ 8 \underline 1| \:1362 \\ | \underline{ - 81} \\ | \: \: 55$

3. Put the decimal point.

4.

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 826 × 6 = 4956, so we choose the new digit as 6. Get the remainder.

$\underline{ \: \: \: \: \: 4} \\ \: \: \: \: \: 4| \: 1736 \\ + 4 | \: \:\underline{ - 16} \\ 8 \underline 1| \:1362 \\ \: \: \: \: | \underline{ - 81} \\ 82\underline6 | \: \: 5500 \\ \: \: \: \: \: \: \: \: \: \underline{| - 4956} \\ \: \: \underline {| \: 544}$

5.

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 8326 × 6 = 49956, so we choose the new digit as 6. Get the remainder.

$\underline{ \: \: \: \: \: 4} \\ \: \: \: \: \: 4| \: 1736 \\ + 4 | \: \:\underline{ - 16} \\ 8 \underline 1| \:1362 \\ \: \: \: \: | \underline{ - 81} \\ 82\underline6 | \: \: 5500 \\ \: \: \: \: \:+ 6\underline{| - 4956} \\ 832 \underline 6| \: 54400 \\ \: \: \: \: \: \: \: \: \: \: \: \: | \underline{ - 49956} \\ \: \: \: \: \: \: | \underline{4444}$

6.

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 83325 × 5 = 416625, so we choose the new digit as 5. Get the remainder.

$\underline{ \: \: \: \: \: 4} \\ \: \: \: \: \: 4| \: 1736 \\ + 4 | \: \:\underline{ - 16} \\ 8 \underline 1| \:1362 \\ \: \: \: \: | \underline{ - 81} \\ 82\underline6 | \: \: 5500 \\ \: \: \: \: \:+ 6\underline{| - 4956} \\ 832 \underline 6| \: 54400 \\ \: \: \: \: \: \: \: \: \: \: \: \: | \underline{ - 49956} \\ 8332 \underline 5|44440 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: | \underline{ - 416625} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: | \underline{27775}$

End of long division (upto 3 decimal places).

√1736 = 41.665