what is the square root of 42

Square Root of 42 Number 42 is a number with three prime factors 2, 3 and 7. So calculate its prime factors. The square root of a number is both positive and negative. Now we will calculate the square root of 42 using various methods and learn some interesting facts and questions.

  • Square root of 42: 6.48074
  • Square 42: 1764

1. What is the square root of 42? 2. Is the square root of 42 Reasonable or Unreasonable? 3. How to find the square root of 42? 4. Frequently Asked Questions about Square Root of 42 5. Important Notes about Square Root of 42

  • The square root of a number implies a number that has a product with itself for the original number.
  • The square root of 42 is 6.4807.
  • The square root of 42 is written as √42 in square root form and it cannot be reduced any further.
  • The square root of 42 can be written as (42) 1/2 as an exponent.

A rational number is one that can be expressed as p/q where q ≠ 0. And the square root of 42 cannot be expressed as p/q. So the square root of 42 is an irrational number Read: square root of 42 Read more: what is the past tense striving | Top Q&A will now calculate the square root of 42 using the following methods:

Square root of 42 using approximation

  • Find two consecutive perfect squares with the number 42 in the middle. Those two numbers are 36 (62) and 49 (72). So the integer part of the square root of 42 will be 6.
  • Now, for the decimal part, we will use the formula: (Given number – Smaller perfect square) / (Larger perfect square – Smaller perfect square) = (42 – 36 ) / (49 – 36) = 6/13 = 0.461
  • So the approximate square root estimate of 42 is 6,461.
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Square Root of 42 by Long Division

Now we will calculate the square root of 42 using the long division method.

  • Start matching the numbers from the right side by placing a stick on top of them. In this case, we only have one pair (42).
  • Now find a number (z) such that z × z ≤ 42. So z will be 6 because 6 × 6 = 36 ≤ 42.
  • We get both the quotient and remainder as 6. Now we will add the divisor z to itself and get the new divisor (12).
  • Put a decimal in the divisor and the quotient after 6. Alternatively, put 3 pairs of zeros in the dividend after the decimal.
  • Bring down a pair of zeros. Thus, our divisor becomes 600. Find a number (m) such that 12m × m ≤ 600. The number of m will be 4 because 124 × 4 = 496 ≤ 600.
  • Now repeat the above step for the remaining two pairs of zeros.

Read more: Which human activities use the most water worldwideSo we get the square root of √42 = 6,480 using the long division method. Explore square roots using illustrations and interactive examples Read more: what is the square root of 200 | Top Q&A

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  • The number 42 is not a perfect square.
  • The square root of -42 is an imaginary number.
  • The square root of 42 is an irrational number.

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Posts “what is the square root of 42” posted by on 2021-09-03 15:40:07. Thank you for reading the article at wallx.net

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