Question

Find the square root of 7 by long division method.​

Answer 1

Answer:

2.64

Step-by-step explanation:

write 7 as 7.000000.consider the number in pairs from the right. so 7 stands alone.

Now divide 7 with a number such that number × number gives 7 or a number lesser than that. we determine 2×2=4

Complete the division process. obtain 2 as a quotient and 3 as a reminder bring down the first pair of zeros.

Double the quotient obtained. Now 2×2 forms the new divisor in the tens place.

Find a number which in the units place along with 40,fetches the product 300 or a number lesser than that.

We find that 6×46 gives 276. Complete the division and get the reminder as 24.

Now our quotient is 2.6 double this and get 520 as our new divisor

Bring down the next pair of zeros find the number that with 520 gives 2400 or a number lesser than that.

We conclude 4×524=2096 complete the division .

Repeat the same division process until we get the quotient approximated to 3 digits.

Thus we have evaluated square root of 7 is 2.64