>Hello Sohib EditorOnline, welcome to this journal article about ‘Cara Menghitung Akar Pangkat 2’. In this article, we will explore the concept of finding the square root of a number and how it can be calculated manually without a calculator. We will also discuss some frequently asked questions related to this topic. So, let’s get started.

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## What is the Square root of a number?

Square root of a number is a mathematical operation that determines a number which, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 multiplied by 3 is 9. The symbol used to denote square root is √. In this article, we will focus on finding the square root of a number when it is a perfect square.

### What is a perfect square?

A perfect square is a number which is the product of a number multiplied by itself. For example, 9 is a perfect square because 3 multiplied by 3 gives 9. Other examples of perfect squares are 1, 4, 16, 25, 36, 49, 64, 81, 100, and so on.

### Is it possible to find the square root of a non-perfect square?

Yes, it is possible to find the square root of a non-perfect square, but it involves some advanced mathematical operations which are beyond the scope of this article.

## How to calculate the square root of a number manually?

There are different methods to calculate the square root of a number manually. In this article, we will focus on the most basic method which involves prime factorization.

### Step 1: Prime factorize the number

The first step is to prime factorize the number. Prime factorization means finding the prime numbers that multiply together to make the original number. For example, if the number is 36, its prime factorization is 2 × 2 × 3 × 3.

Number | Prime factorization |
---|---|

9 | 3 × 3 |

16 | 2 × 2 × 2 × 2 |

25 | 5 × 5 |

36 | 2 × 2 × 3 × 3 |

49 | 7 × 7 |

### Step 2: Pair up the prime factors

The second step is to pair up the prime factors in pairs of two, starting from the left. If there is one prime factor left at the end, it will be left alone.

Let’s continue with the example of 36. Its prime factorization is 2 × 2 × 3 × 3. We pair up the prime factors as follows:

2 × 2 | 3 × 3

### Step 3: Divide the number by the pair

The third step is to divide the number by the pair of prime factors. Write down the quotient and the divisor. In the next step, we will add the quotient to the divisor and repeat the process.

Let’s continue with the example of 36. We divide 36 by 2 and get 18. We add 2 to 18 and get 20. We divide 20 by 2 and get 10. We add 2 to 10 and get 12. We divide 12 by 3 and get 4. We add 3 to 4 and get 7. At this point, we cannot pair up any more prime factors, so we stop. The final answer is the last divisor that we used, which is 6 in this case. Therefore, the square root of 36 is 6.

### Step 4: Verify the answer

The final step is to verify the answer by multiplying it by itself and checking if it gives the original number. In the case of 36, the square of 6 is 36, which means our answer is correct.

## FAQ

### 1. Can a negative number have a square root?

Yes, a negative number can have a square root, but it involves imaginary numbers which are beyond the scope of this article.

### 2. How do I calculate the square root of a decimal number?

You can use a calculator to find the square root of a decimal number.

### 3. Is there a formula to calculate the square root of a number?

Yes, there is a formula to calculate the square root of a number, but it involves advanced mathematical operations which are beyond the scope of this article.

### 4. Can the square root of a number be irrational?

Yes, the square root of some numbers can be irrational, which means they cannot be expressed as a fraction of two integers. Examples of such numbers are 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, and so on.

### 5. Can I find the square root of a fraction?

Yes, you can find the square root of a fraction, but it involves more complex mathematical operations which are beyond the scope of this article.

## Conclusion

Calculating the square root of a number manually is a basic mathematical operation that can be useful in many practical scenarios. By following the steps outlined in this article, you can easily find the square root of any perfect square without using a calculator. We hope you found this article informative and useful. Thank you for reading.