what is the square root of 69

Square Root of 69 Number 69 is a number that has only two prime factors 3 and 23. The square root of a number implies a number whose product by itself gives the original number. Now we will find the value of the square root of 69 using different methods and some more interesting facts and problems.

  • Square root of 69: 69 = 8.30662
  • Square 69: 692 = 4761

1. What is the square root of 69? 2. Is the square root of 69 Reasonable or Unreasonable? 3. How to find the square root of 69? 4. Frequently Asked Questions about Square Root of 69 5. Important Notes about Square Root of 69

  • The square root of 69 is written as √69 in the square root form 8,30662 (approximate).
  • The number 69 has only two prime factors, 3 and 23. Therefore, its square root cannot be further simplified using prime factors.
  • The square root of 69 can be written as (69) 1/2 as an exponent.

The square root of 69 is a non-repeating and non-terminating number, so it cannot be expressed as p/q where q ≠ 0. Therefore, the square root of 69 is an irrational number. square root of 69Read more: Iskysoft Helper Compact – Is it safe? | Top Q&A will now find the square root of 69 using the methods below:

Square root of 69 using approximation

  • First, find two consecutive perfect squares such that 69 is between them. The two numbers are 64 (82) and 81 (92). So the integer part of the square root of 69 will be 8.
  • Now, to determine the decimal part, we use the formula: (Given number – Smaller perfect square) / (Larger perfect square – Smaller perfect square) = (69 – 64 ) / (81 – 64) = 5/17 = 0.294
  • Therefore, approx. The square root of 69 by approximation is 8,294.
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Square Root of 69 by Long Division

Now we will calculate the square root of 69 using the long division method.

  • Start matching the digits from the unit’s position in pairs of two by placing a stick on top of them. We will have a pair in this case (69).
  • Find a number (a) such that a × a ≤ 69. So a will be 8 because 8 × 8 = 64.
  • We get a remainder of 5 (69-64) and a quotient of 8. Now we will add the divisor a to itself and get the new divisor (16).
  • Put a decimal in the divisor and quotient simultaneously. Also, put 3 pairs of zeros in the dividend after the decimal.
  • Bring down a pair of zeros. So our new divisor is 500. Find a number (n) such that 16n × n ≤ 500. The number n will be 3 because 163 × 3 = 489 ≤ 500.
  • Repeat the above step for the remaining pairs of zeros.

Read more: Here’s Why ‘Bouncing Betty’ Is Totally Devastated | Top Q&ASo we get the square root of √69 = 8,306 using the long division method.Explore square roots using interactive illustrations and examplesRead more: What time are the oscars tonight

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  • Square root of 68
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  • The number 69 is not a perfect square.
  • The square root of 69 is an irrational number.
  • The square root of -69 is an imaginary number.

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