what is the square root of 1681

Square Root of 1681 The square root of a number is the value that, when multiplied by itself, gives the original number. for example: 10 × 10 = 100; The square root of 100 is 10. Similarly, 1681 is a perfect squared number. The square root of 1681 will be a number whose product by itself will give the result 1681. The square root operation is the inverse of a square. The square root of a number can be positive or negative, rational or irrational, real or imaginary. In this little lesson we will calculate the square root of 1681 using different methods and we will look at some interesting problems related to it. 1681 is a perfect squared number that can be obtained squared of 41. Therefore, the square root of 1681 is a rational number. In this mini lesson we will learn how to find the square root of 1681 along with solved examples. Now let’s find the square root of 1681.

  • Square root of 1681: 1681 = 41
  • Square in 1681: 1681² = 28.25,761

1. What is the square root of 1681? 2. Is the square root of 1681 Reasonable or Unreasonable? 3. How to Find the Square Root of 1681? 4. Frequently asked questions about Square Root of 1681 5. Important Notes The square root of a number n is written as √n. This number when squared or multiplied by itself will give the original number n. We know that addition has an inverse, subtraction, and multiplication has an inverse, division. Similarly, calculating the square root of a number is the inverse of squaring the number. The square root of 1681 is a number that, when multiplied by itself, gives the number 1681. Therefore, we need to think of a number whose square is 1681. Read: what is the square root of 1681.

  • The square root of 1681 is written as √1681 (Base form)
  • Square root of 1681 = 1681 = (41 × 41) = +41 and -41
  • In exponential form, the square root of 1681 is expressed as (1681) 1/2
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The square root of 1681 is 41.Read more: What is the Odds Game A rational number is a number that can be represented as p/q. A number that is not a rational number is called an irrational number. Endless decimals with numbers that repeat after the decimal point are rational numbers. Now, let’s look at the square root of 1681. 1681 can be divided into two factors when multiplied by 1681. It can be written as the square of 41, which is a rational number. This shows that 1681 is a perfect squared number.

  • 1681 is a number that is a perfect square because it has a natural number as its square root.
  • The square root of 1681 is 41
  • The square root of 1681 can be represented as a fraction as p/q which tells us that the square root of 1681 is a rational number.
  • The square root of 1681 is +41 or -41.
  • 41 and -41 can be expressed as 41/1 and -41/1. Both numbers can be represented as a rational number. Therefore, the square root of 1681 is a rational number.

The square root of 1681 can be calculated using different methods such as: Prime factorization and long division method. Since 1681 is a perfect square, we can also use repeated subtraction. Calculate the square root of 1681 using the long division method.

Square root of 1681 using length division method

  • Step 1. Write 1681 as shown in the picture. Start grouping numbers in pairs from the right. 81 is the first pair from the right and the next pair is 16.
  • Step 2: Find the largest number that, when multiplied by itself, gives 16 or a smaller number that is closest to 16. This is 4 (4 × 4 = 16, remainder = 0).
  • Step 3: Lower the next pair of numbers. This is 81. The new divisor is 81 and the divisor is 81.
  • Step 4: Find the largest number that, when kept in the units row with 8 in the tens, multiplied by the number itself gives 81 or the closest number to 81.
  • Step 5: 1 is the next quotient position. Now we get a new divisor of 81 which is 81 × 1 = 81. Complete the division and get the remainder. We get 0 as remainder. Thus, the division process completes here.
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Read more: what is the square root of 11 | Top Q&ASo, square root of 1681 = 41.Explore square roots using interactive illustrations and examplesRead more: what is the greatest common factor of 32 and 48

  • Square root of 1296
  • Square root of 1225
  • Square root of 1000
  • Square root of 24
  • Square root of 16
  • Square root of 144
  • Square root of 81
  • Square root of 288
  • The square root of 1681 is represented as √1681 in root form.
  • The square root of 1681 is expressed as (1681) 1/2 in exponential form.
  • There will be n/2 digits in the square root of an even number of n digits.
  • There will be (n + 2) / 2 digits in the square root of an odd n digit number.

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