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‎01_Python_Introduction_examples/003 find the square root.ipynb

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"<small><small><i>\n",
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"All the IPython Notebooks in this example series by Dr. Milan Parmar are available @ **[GitHub](https://github.com/milaan9/90_Python_Examples)**\n",
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"# Python Program to Find the Square Root\n",
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"\n",
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"In this program, you'll learn to find the square root of a number using exponent operator and **`cmath`** module.\n",
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"\n",
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"To understand this example, you should have the knowledge of the following **[Python programming](https://github.com/milaan9/01_Python_Introduction/blob/main/000_Intro_to_Python.ipynb)** topics:\n",
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"\n",
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"* **[Python Input, Output and Import](https://github.com/milaan9/01_Python_Introduction/blob/main/011_Python_Input_Output_Import.ipynb)**\n",
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"* **[Python Data Types](https://github.com/milaan9/01_Python_Introduction/blob/main/009_Python_Data_Types.ipynb)**\n",
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"* **[Python Operators](https://github.com/milaan9/01_Python_Introduction/blob/main/012_Python_Operators.ipynb)**"
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"end_time": "2021-07-23T14:42:37.705957Z",
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"The square root of 9.000 is 3.000\n"
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"'\\n>>Output/Runtime Test Cases:\\n \\nThe square root of 9.000 is 3.000\\n'"
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"#Example: For positive numbers\n",
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"# Python Program to calculate the square root\n",
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"\n",
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"# Note: change this value for a different result\n",
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"num = 9 \n",
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"\n",
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"# To take the input from the user\n",
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"#num = float(input('Enter a number: '))\n",
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"\n",
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"num_sqrt = num ** 0.5\n",
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"print('The square root of %0.3f is %0.3f'%(num ,num_sqrt))\n",
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"\n",
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"'''\n",
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">>Output/Runtime Test Cases:\n",
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" \n",
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"The square root of 9.000 is 3.000\n",
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"'''"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"**Explanation:**\n",
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" \n",
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"In this program, we store the number in **`num`** and find the square root using the **`**`** exponent operator. This program works for all positive real numbers. But for negative or complex numbers, it can be done as follows. "
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"The square root of (1+2j) is 1.272+0.786j\n"
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]
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},
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"'\\n>>Output/Runtime Test Cases:\\n \\nThe square root of (1+2j) is 1.272+0.786j\\n'"
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"# Find square root of real or complex numbers\n",
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"# Importing the complex math module\n",
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"\n",
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"import cmath\n",
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"\n",
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"num = 1+2j\n",
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"\n",
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"# To take input from the user\n",
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"#num = eval(input('Enter a number: '))\n",
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"\n",
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"num_sqrt = cmath.sqrt(num)\n",
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"print('The square root of {0} is {1:0.3f}+{2:0.3f}j'.format(num ,num_sqrt.real,num_sqrt.imag))\n",
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"\n",
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"'''\n",
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">>Output/Runtime Test Cases:\n",
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" \n",
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"The square root of (1+2j) is 1.272+0.786j\n",
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"'''"
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]
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{
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"cell_type": "markdown",
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"metadata": {},
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"**Explanation:**\n",
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" \n",
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"In this program, we use the **`sqrt()`** function in the **`cmath`** (complex math) module.\n",
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"\n",
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">**Note:** If we want to take complex number as input directly, like **`3+4j`**, we have to use the **`eval()`** function instead of **`float()`**.\n",
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"The **`eval()`** method can be used to convert complex numbers as input to the **`complex`** objects in Python. To learn more, visit **[Python eval() function](https://github.com/milaan9/04_Python_Functions/blob/main/002_Python_Functions_Built_in/021_Python_eval().ipynb)**.\n",
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"\n",
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"Also, notice the way in which the output is formatted. To learn more, visit **[string formatting in Python](https://docs.python.org/3/library/string.html#format-string-syntax)**."
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