September 25, 2022 The square root of 8 is 2.828. This number has some interesting properties that make it worth studying. For one, it is irrational, meaning that it cannot be expressed as a rational number.

This means that it is impossible to find a rational number that is equal to the square root of 8. This can be frustrating for mathematicians who like everything to have a tidy, logical explanation. However, the fact that the square root of 8 is irrational also makes it interesting and worth exploring further.

The square root of 8 is 2.82843. This number is significant because it is the only real number that, when squared, produces 8. In other words, the square root of 8 is the number that you would have to multiply by itself to get 8.

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## What is the Simplest Form of √ 8?

The simplest form of √8 is 2√2. To get this answer, we can use a few different methods. First, we can use the fact that 8 is a perfect square.

This means that it can be written as 8 = 4 * 2. We can then take the square root of both sides to get: √8 = √(4 * 2) = 2√2. Alternatively, we could have used the fact that 8 is twice 4.

This means that we can write it as 8 = 4 + 4.

## Is Square Root of 8 a Rational Number?

No, the square root of 8 is not a rational number. A rational number is a number that can be expressed as a fraction, with both the numerator and denominator being integers. The square root of 8 cannot be expressed as such a fraction because it would require the denominator to be a perfect square, which it is not.

## Square Root of 9

The square root of 9 is 3. This means that if you were to take a number, say 2, and multiply it by itself 3 times (2x2x2), the answer would be 8. And since 8 is two less than 9, the square root of 9 must be 3.

## Square Root of 10

The square root of 10 is 3.162277660168379. This value was first calculated by the Greek mathematician Euclid, who lived in Alexandria in Egypt around 300 BC. The square root of 10 is an irrational number, which means that it cannot be expressed as a rational number (a number that can be written as a fraction).

It is also a real number, which means that it can be found on the real line. The square root of 10 is also an algebraic number, which means that it can be solutions to polynomial equations with integer coefficients.

## Square Root of 16

The square root of 16 is 4. This means that if you square 4, you get 16. The square root is the inverse of squaring; it undo what squaring does.

It is represented by the symbol √. The process of finding the square root of a number is called “taking the square root.” To take the square root of a number, you can use a calculator or do it by hand.

If you’re doing it by hand, there are a few steps involved in taking the square root: 1) Find two perfect squares that add up to your number. For example, 16 = 9 + 7 or 16 = 4 + 12.

2) Take away one perfectsquare from your answer in step 1 (9 or 4), and find the square root of what’s left over (7 or 12). So √16 = √(9+7) = 3√7 or √16 = √(4+12) = 2√12 . 3) Write your final answer as a fraction, with the original perfectsquare on top (the “radicand”), and whatever you found in step 2 on bottom as your “divisor.”

So our examples would be 3√7/1 and 2√12/1 , which both simplify to just √7 and 2√3 . And we’re done!

## Square Root of 11

The square root of 11 is 3.316. This number is also known as the principal square root of 11, because it is the positive real number that, when multiplied by itself, yields 11. The other square root of 11 is -3.316, which is negative and less commonly used.

When we take the square root of a number, we are looking for the number that, when multiplied by itself, equals the original number. So, to find the square root of 11, we are looking for a number that when multiplied by itself equals 11. That number is 3.316.

The process of finding the square root of a number can be done manually or with a calculator. To do it manually, we need to find two perfect squares that our target number falls between. A perfect square is a whole number that results from multiplying another whole number by itself (for example: 9 x 9 = 81).

Once we have found our two perfect squares, we can use them to estimate where our target falls between them on a graph called anumber line . Then, using a process called long division , we can arrive at an answer that is close to the actual value of the square root . To find thesquarerootof11withacalculator ,weusethe following steps:

1) Enter11intothecalculator . 2) Press thenumber sign √ . 3) Thedisplaywillshow thenumber 3 .

## Conclusion

The square root of 8 is an irrational number that cannot be expressed as a rational fraction. It can, however, be approximated by many different fractions, such as 3/2 or 4/3. The value of the square root of 8 is also sometimes referred to as “two cubed,” since 8 is the third power of 2.