# Square root of 21

Video Square Root of 21 Square Root of 21Total number of dots or sum of all numbers on a 6-sided dice? Yes – a total of 21! The square root of a number is obtained by raising the number to half a power. This chapter will cover finding the square root of 21 using the division method and the mean method.

**Square root of 21:**4.582**Square 21:**441

1. What is the square root of 21? 2. Is the square root of 21 Reasonable or Unreasonable? 3. How to find the square root of 21? 4. FAQ about Square Root of 21

- The square root of a number is the number multiplied by itself to get the original number.
- 21 = 4.582 × 4.582
- √21 = (21) ½ is in power and √21 is in its simplest root form.

The square root of a number can be calculated using different methods: Read: what is the square root of 21

- Long division method
- Average method

Further reading: what oml means in text√21 cannot be further simplified. So we can just express it as √ (7 × 3). Therefore we cannot use the prime factorization method to determine the square root of 21. The square root of 21 using the long division method

**Step 1:**Write 21 as 21.000000. Now take the numbers as pairs from the right. On the left we have 21. Find a number multiplied by itself that will give 21 or less of that number.**Step 2:**4 × 4 = 16. Subtract 16 from 21. Take a remainder of 5 and bring in a pair of zeros. Now the new dividend is 500.**Step 3:**Multiply the quotient 4 by 2. We get 8. 80 is the new divisor. Choose a number that has been added to 80 and multiplied by the total to be 500 or less.**Step 4**: We see that 5 added to 80 is 85 and 85 × 5 = 425. Take 500 minus 425 and get the remaining number 75. Take the next pair of zeros down. 7500 is the new dividend.**Step 5**: Multiply the quotient 45 by 2. We get 90. 900 is the new divisor. Pick a number plus 900 and multiply by the sum to get 7500 or less.**Step 6:**We see that 8 + 900 is 908 and 908 × 8 = 7264. Take 7500 minus 7264 and get 236. Take the next pair of zeros down. 23600 is the new dividend.- Repeat the division process until we get the remainder.
- So we have correctly determined the value of the square root of 21 to be 4.582.

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### Square root of 21 according to the mean method

- The value of 21 ranges from 16 to 25
- √16 <√21 <√25
- 4 <√21 <5
- Divide 21 by 5. We get 21 5 = 4.25
- Now find the average of the quotient and divisor in the previous step.
- (4.25 + 5) 2 = 9.25 2 = 4.625
- 21 4.625
- Hence √21 lies between two perfect squares, 4 and 5.

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- Square root of 2
- Square root of 19
- Square root of 16
- Square root of 8
- Square root of 9

- √21 = 4.582 approximates to 3 decimal places.
- √21 is unreasonable because it is not a perfect square.
- Use the average method to find the approximate value of 21 and the division method to find the exact value of 21

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