The square root of 1800 is expressed as √1800 in the radical form and as (1800)½ or (1800)0.5 in the exponent form. The square root of 1800 rounded up to 10 decimal places is 42.4264068712. It is the positive solution of the equation x2 = 1800. We can express the square root of 1800 in its lowest radical form as 30 √2.

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**Square Root of 1800:**42.42640687119285

**Square Root of 1800 in exponential form:**(1800)½ or (1800)0.5

**Square Root of 1800 in radical form:**√1800 or 30 √2

1. | What is the Square Root of 1800? |

2. | How to find the Square Root of 1800? |

3. | Is the Square Root of 1800 Irrational? |

4. | FAQs |

The square root of 1800, (or root 1800), is the number which when multiplied by itself gives the product as 1800. Therefore, the square root of 1800 = √1800 = 30 √2 = 42.42640687119285.

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### Value of √1800 by Long Division Method

**Explanation:**

Therefore, the square root of 1800 by long division method is 42.4 approximately.

The actual value of √1800 is undetermined. The value of √1800 up to 25 decimal places is 42.42640687119285146405066. Hence, the square root of 1800 is an irrational number.

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**Example 1: Solve the equation x2 − 1800 = 0**

**Solution:**

x2 - 1800 = 0 i.e. x2 = 1800x = ±√1800Since the value of the square root of 1800 is 42.426,⇒ x = +√1800 or -√1800 = 42.426 or -42.426.

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## FAQs on the Square Root of 1800

### What is the Value of the Square Root of 1800?

The square root of 1800 is 42.4264.

### Why is the Square Root of 1800 an Irrational Number?

Upon prime factorizing 1800 i.e. 23 × 32 × 52, 2 is in odd power. Therefore, the square root of 1800 is irrational.

### What is the Value of 8 square root 1800?

The square root of 1800 is 42.426. Therefore, 8 √1800 = 8 × 42.426 = 339.411.

### Evaluate 18 plus 16 square root 1800

The given expression is 18 + 16 √1800. We know that the square root of 1800 is 42.426. Therefore, 18 + 16 √1800 = 18 + 16 × 42.426 = 18 + 678.823 = 696.823

### What is the Square Root of 1800 in Simplest Radical Form?

We need to express 1800 as the product of its prime factors i.e. 1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5. Therefore, √1800 = √2 × 2 × 2 × 3 × 3 × 5 × 5 = 30 √2. Thus, the square root of 1800 in the lowest radical form is 30 √2.

See more: Wh A Two-Dimensional Table Of Data Sometimes Is Called A:, What Is A Relational Database

### What is the Square Root of -1800?

The square root of -1800 is an imaginary number. It can be written as √-1800 = √-1 × √1800 = i √1800 = 42.426iwhere i = √-1 and it is called the imaginary unit.