find the value of square root 3 and square root 5 by using long division method
Answers
Answer:
√3= 1.732
√5= 2.236
square roots
Answer:
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.
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