Question

long division method up to 5​

Answer 1

Answer:

Division Method to Find the Value of Root 5

It is possible to find the value of roots of any number, by the help of the long division method. The steps for finding the value of root 5 is given below:

Step 1: The number 5 can be written as 5.00000000. i.e., 5 = 5.00 00 00 00

Step 2: Take the number whose square is below 5. So, 4 is the perfect square of number 2 and is below 5.

Step 3: Write the number 2 in both divisor and quotient place, such that when 2 multiplied by 2 gives 4. Subtract 4 from 5, you will get the answer 1.

Step 4: Next carry down two zeros and write down after 1 and take the decimal point after 1 in the quotient.

Step 5: Now add 2 in divisor to make it 4. Take a number next to 4, such that when we multiply the combination with the same number, we get a number which is less than or equal to 100. Hence, we will take here 2, such that 42 multiplied by 2 gives 84, which is less than 100. Subtract it with 100 now to get the remainder. So, the remainder is 16.

Step 6: Now again write down two zero’s and repeat step 5 up to 4 places of decimals.

Step 7: Finally, you get the quotient value as 2.2360, which is approximately equal to 1.236.

How to Find Root 5

Check below the step-by-step procedure of long division method to find the square root of 5.

Value of root 5

Therefore, the value of root 5 is,

√5 = 2.2360…

Or

√5 ≈ 2.24