what is the square root of 71

Square Root of 71 Did you know 71 is a prime number? When we find the square root of 71, we can see that it couldn’t be any simpler since it only has two factors of 1 and the number (71) itself. Therefore, the square root of 71 is simplified and written as √71. In this lesson you will learn about square root of 71 by long division method along with solved examples let’s see what square root of 71 is.

  • Square root of 71: 71 = 8,426
  • Square of 71: 712 = 5.041

1. What is the square root of 71? 2. Is the square root of 71 Reasonable or Unreasonable? 3. How to find the square root of 71? 4. FAQ about Square Root of 71 Square root of 71 is a number that is multiplied by itself to get a product of 71. A rational number can be expressed as a ratio of two integers, p/ q such that q is not zero. As we know, 71 cannot be divided into two such factors when squared gives 71. It can be approximated as the square of 8,426 and it is zero decimal. repeats and does not end. Therefore, 71 is not a perfect square and the square root of 71 is an irrational number. Read more: How many inches is 28 cm? | Top Q&ATips and tricks:

  • 71 is a prime number so it also becomes an imperfect squared number. As we all know, the square root of any number “n”, which is not a perfect square, will always be an irrational number. Therefore the square root of 71 is an irrational number.
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Let’s learn different ways to represent the square root of 71.

  • Simple square root form of the square root of 71
  • Square Root of 71 by Length Division

Click here to know more about the different methods.

Simple square root form of the square root of 71

The simple root form of the square root of 71 is √71. Because 71 is a prime number and it has only two factors. Therefore, it can only be divided into two factors 71 = 71 × 1. Therefore, we cannot simplify it further. Now let’s try to find the square root of 71 using the long division method.

Square root of 71 by length division

Read more: what is the square root of 4096 | Top Q&A Let us understand the process of finding the square root of 71 using long division.

  • Step 1: Match the digits of 71 starting with a digit at a person’s place and place a horizontal bar to represent pairing.
  • Step 2: Now we find a number that when multiplied by itself gives a product less than or equal to 71. As we know 8 × 8 = 64 < 71.
  • Step 3: Now we have to lower 7 and multiply the quotient by 2. This gives us 16. Thus, 16 is the starting digit of the new divisor.
  • Step 4: 4 is put in place of the new divisor because when multiplying 164 by 4 we get 656. The answer is now 44 and we lower it to 00.
  • Step 5: The quotient now becomes 84 and it is multiplied by 2. This gives 168, which will then become the starting digit of the new divisor.
  • Step 6: 2 is put in place of the new divisor because when multiplying 1682 by 2 we get 3364. The answer we now get is 1036 and we bring 00 down.
  • Step 7: Now the quotient is 842 when multiplied by 2 gives 1684 which will be the starting digit of the new divisor.
  • Step 8: 6 is put in place of a divisor because when we multiply 16846 by 6 we get 101076. The answer we get is 2526 and we lower it to 00.
  • Step 9: Now the quotient is 8426 when multiplied by 2 gives 16852 which will be the starting digit of the new divisor.
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We can estimate the value of the square root of 71 to as many places as required using the same steps as discussed above.Explore square roots using interactive illustrations and examples

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  • Square root is the inverse of square.
  • The square root of 71 is expressed as √71 or (71) 1/2.
  • We can find the square root of 71 using the root denominator and the long division method.

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