Cruz Stathas asked, updated on November 16th, 2021; Topic:
square root

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/amaanswers.com/what-is-the-authors-attitude-toward-a-subject-called-quizlet"> tps://amaanswers.com/how-do-you-simplify-the-square-root-of-99"> ##**Negative numbers** don't have real **square roots** since a **square** is either positive or 0. The **square roots** of **numbers** that are not a perfect **square** are members of the irrational **numbers**. This means that they can't be written as the quotient of two integers.
#### 9 Related Questions Answered

### How do you square root a negative number on a calculator?

**How to Calculate the ****Square Root** of:
### What is the square of negative 3?

### How do you square a negative?

### What is a negative to the power of 2?

### How do you prove √ 2 is irrational?

**Euclid's proof starts with the assumption that ****√2** is equal to a rational number p/q.**√2**=p/q. Squaring both sides,**2**=p²/q² The equation can be rewritten as.2q²=p² From this equation, we know p² must be even (since it is **2** multiplied by some number). ... 2q²=p²=(2m)²=4m² or. ... q²=2m² ... **√2**=p/q=2m/2n. ... **√2**=m/n.
### Why is root two irrational?

### How do you solve negative roots?

### What is 2i equal to?

### What is negative I equal to?

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At any event, what is the square of negative 2?

This is because to square a number just means to multiply it by itself. For **example**, (-2) squared is (-2)(-2) = 4. Note that this is positive because when you multiply two **negative numbers** you get a positive result.

Hence, is the square root of negative 2 irrational? Conclusion. The **square root** of **2** is "**irrational**" (cannot be written as a fraction) ... because if it could be written as a fraction then we would have the absurd case that the fraction would have even numbers at both top and bottom and so could always be simplified.

As it, what is the square root of a negative 4?

Given the number 4 for **example**, the square root of 4 could be 2 or it could be -2. The principal square root is the positive one.

Why is i the square root of negative one?

Here, the term "imaginary" is used because there is no real number having a **negative square**. There are two complex **square roots** of −**1**, namely i and −i, just as there are two complex **square roots** of every real number other than zero (which has **one** double **square root**).

- A Positive
**Number**: The**square root**of a positive**number**can be calculated by: ... - A
**Negative Number**: To calculate the**square root**of a**negative number**, find the**square root**of the same positive**number**and multiply by "i". ( ... - An Imaginary
**Number**: ... - A Complex
**Number**:

If you want to say "the **square of negative three**" you write (−**3**)2.

If the **negative** sign is inside the parentheses you cube the **negative** with the number, so (-**2**)^3 = -8. In this case there is no difference in the answers, but if the **exponent** were even it would make a difference. For example, -(**2**)^**2** = -4, but (-**2**)^**2** = 4, so the place of the **negative** would matter.

Specifically, the Greeks discovered that the diagonal of a square whose sides are 1 unit long has a diagonal whose length cannot be rational. By the Pythagorean Theorem, the length of the diagonal equals the square **root** of **2**. So the square **root** of **2** is **irrational**!

i2 is **equal to** -1, a real number!

Unit Imaginary Number The square root of minus one √(−1) is the "unit" Imaginary Number, the **equivalent** of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.

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