what is the square root of 66

Square Root of 66 The number 66 is an even composite of three prime factors, i.e., 2, 3, and 11. The square root of a number implies a number that, when multiplied by itself, gives a given number. give. The square root of 66 can be a rational or irrational number. We will now look at different methods of finding the value of the square root of 66 and look at some interesting problems.

  • Square root of 66: 66 = 8.1240
  • Square 66: (66) 2 = 4356

1. What is the square root of 66? 2. Is the square root of 66 Reasonable or Unreasonable? 3. How to find the square root of 66? 4. Frequently Asked Questions about Square Root of 66 5. Important Notes about Square Root of 66

  • The square root of 66 is written as 66 (root form) = 8.1240
  • The square root of 66 can be written as (66) 1/2 as an exponent.
  • The number 66 has three prime factors, i.e. 2, 3 and 11 with their powers equal to 1. Therefore, the square root of 66 cannot be further simplified using prime factors.

The square root of 66 is a non-repeating and non-terminating number. Therefore, it cannot be written as p/q where q ≠ 0. Therefore, the square root of 66 is an irrational number. Read more: square root of 66 Read more: 250 mm is how many inches? | Top Q&A will now find the square root of 66 using the following methods:

  • approximation method
  • Long division method

Square root of 66 using approximation

  • We will find two consecutive perfect squares such that 66 is between them. The two perfect squares are 64 (82) and 81 (92). So the integer part of the square root of 66 will be 8.
  • Now, for the decimal part, we will use the formula: (Given number – Smaller perfect square) / (Larger perfect square – Smaller perfect square) = (66 – 64 ) / (81 – 64) = 2/17 = 0.117
  • Therefore, the square root of 66 by approximation is 8.117
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Square Root of 66 by Long Division

Now we will calculate the square root of 66 using the long division method.

  • Start pairing the digits by adding a bar above them from the unit’s position. We will only have one pair in case 66.
  • Find a number (b) such that b × b ≤ 66. So b will be 8 because 8 × 8 = 64.
  • We get a remainder of 2 (66-64) and a quotient of 8. Now we will add the divisor b with itself (b + b) 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 (66.00 00 00).
  • Reduce a pair of zeros. So our new divisor is 200. Find a number (n) such that 16n × n ≤ 200. The number m that will be 1 is 161 × 1 = 161 ≤ 200.
  • Repeat the above step for the remaining pairs of zeros.

Read more: What dose does Bbq represent So we get the square root of √66 = 8.124 by long division.Explore square roots using interactive illustrations and examples. Read more: What is the coldest layer of the atmosphere

  • Square root of 16
  • Square root of 69
  • Square root of 3
  • Square root of 11
  • Square root of 63
  • The number 66 is not a perfect square.
  • The square root of 66 is an irrational number.
  • The square root of -66 is an imaginary number.

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