Question

Value of root 5 upto three decimals places by long division method​

Answer 1

Answer:

√5 = 2.2360…

Or

√5 ≈ 2.24

Step-by-step explanation:

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 carry 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.

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

Therefore, the value of root 5 is,

√5 = 2.2360…

Or

√5 ≈ 2.24