# what is the square root of 11

Square root of 11 The square root of 11 is expressed as √11 in root form and (11) ½ or (11) 0.5 in power. The square root of 11 rounded to 7 decimal places is 3.3166248. It is a positive solution of the equation x2 = 11.

**Square root of 11:**3.3166247903554**Square root of 11 in exponential form:**(11) or (11) 0.5**Square root of 11 in root form:**11

1. What is the square root of 11? 2. Is the square root of 11 Reasonable or Unreasonable? 3. How to Find the Square Root of 11? 4. Frequently Asked Questions about Square Root of 11 Square root is the inverse of a square. The square root of a number is the number that is multiplied by itself to get the product. Take a look at the example below: This is a number that when multiplied by itself gives us 11. The square root of 11 is represented as √11. The square root of 11 in exponential form is expressed as 11½. The square root of 11 rounded to 5 decimal places is +3.31662 and – 3.31662 Read: Square root of 11 A rational number is a number of the form p/q where:

- p and q are integers
- q 0

A number that cannot be expressed as a ratio of two integers is 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 11Read more: President’s Message – Blind ambition | Q&A: Do you think the decimal part stops after 3.31662479036? Obviously No, this is non-terminating and the decimal part has no repeating pattern. So it’s not a rational number. Therefore, √11 is an irrational number. The root of 11 can be calculated using several methods:

- By simplifying the roots of the numbers are perfect squares.
- By dividing length by perfect and imperfect squares

11 is a prime and therefore it is not a perfect square, so the square root of 11 can only be found by long division.

### Simple square root form of square root 11

Read more: Factories of 33 To simplify the square root of 11, let’s first express 11 as a product of its prime factors. The prime factor of 11 can be found as follows: Thus the prime factor of 11 is: 1 × 11 To find the square root of any number, we take a number from each pair of similar numbers from its prime factors and multiply them. . But the prime factor of 11 is 11 × 11 no pair of numbers are alike. Therefore, √11 is in its lowest form and cannot be further simplified. Can you try to represent the square root of 5 and the square root of 10 in the same way?

### Square Root of 11 in Long Division

The value of the square root of 11 by the long division method involves the following steps:

**Step 1:**Starting from the right, we’ll pair the digits by placing a bar above them.**Step 2**: Find a number such that when multiplied by itself, the product is less than or equal to 11. So the number is 3. Taking the divisor as 3, we get the quotient of 3 and the remainder 2.**Step 3**: Duplicate the divisor and enter it with an empty cell to the right. Guessing the largest possible digit to fill in the blank will also become the new digit in the quotient, such that when the new divisor is multiplied by the new quotient, the product is less than or equal to the divisor. Divide and write the remainder. Repeat this process to get the decimal places you want.

Therefore, 11 = 3.3166**Explore Square Roots using interactive illustrations and examples**Read more: What is the temperature of 36.9 degrees Celsius

- Square root of 25
- Square root of 30
- Square root of 5
- Square root of 250
- Square root of 65

- Can you think of any quadratic equations whose roots are √11?
- Is √-11 a real number?
- Since (-√11) 2 = 11, can we say that -√11 is also a square root of 11?

- The real roots of √11 are ± 3.316.
- Irrational numbers cannot be expressed as a ratio of two integers. For example: π, √2.

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