Square Root of 290
2026-02-28 00:54 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-290

The long division method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the square root using the long division method, step by step:

Step 1: To begin with, we need to group the numbers from right to left. In the case of 290, we group it as 90 and 2.

Step 2: Now we need to find n whose square is 2. We can say n is ‘1’ because 1 x 1 is less than or equal to 2. Now the quotient is 1, and after subtracting 2-1, the remainder is 1.

Step 3: Now let us bring down 90, which is the new dividend. Add the old divisor with the same number 1 + 1, we get 2, which will be our new divisor.

Step 4: The new divisor will be 2n. We need to find the value of n.

Step 5: The next step is finding 2n x n ≤ 190. Let us consider n as 7, now 27 x 7 = 189.

Step 6: Subtract 190 from 189, the difference is 1, and the quotient is 17.

Step 7: Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 100.

Step 8: Now we need to find the new divisor that is 340 because 340 x 1 = 340.

Step 9: Subtracting 340 from 1000 gives us a result of 660.

Step 10: Now the quotient is 17.0.

Step 11: Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.

So the square root of √290 is approximately 17.02.