Question

Square root of 1024 by long division ​

Answer 1

Step-by-step explanation:

1,047,552

itz kristi

drop some tnx

Answer 2

Step-by-step explanation:

The number of which we have to find the square root by division method is:

1024

Now, we are going to divide the number into two parts in the following manner.

10 24

By hit and trial method, the number whose square is closest to 10 is 3. We know that the square of 3 is 9 which is less than 10. We cannot take 4 because its square is 16 and it is greater than 10.

3∣∣∣∣10−−24−901∣∣∣∣3

In the above division method, we have subtracted 9 from 10. Now, we are going to write the remaining number 24 after 1 and then the above division will look like:

3∣∣∣∣10−−24−9↓0124∣∣∣∣3

Now, we are going to multiply 3 by 2 and then write 6 below 3.

362∣∣∣∣∣∣∣10−−24−9↓012401240000∣∣∣∣∣∣∣32

In the above, by hit and trial method we have found the number 2 which we have multiplied by 62 and we have got 124 which on subtraction with 124 will get us the remainder 0. Also, we have written the number 2 after 3. So, the square root of 1024 is 32.

Hence, the correct option is (d).

Note:

You can check the square root that you are getting above for 1024 is correct or not by multiplying 32 by itself.

Multiplying 32 by 32 we get,

32×32 6496×1024

As you can see that on multiplying 32 by 32 we are getting 1024 so the square root that we have found is correct.