How to Find the 4th Root of a Number in a Calculator?

To find the 4th root of a number using a calculator, you'll typically use a button that looks like "x√y" or "n√x", often in conjunction with a "shift" or "2nd" function key. On some graphing calculators, there might be a direct 4th root symbol. Here's a general approach:

1. Check for a Direct 4th Root Function: Some calculators have a dedicated button or menu option specifically for the 4th root. Look for a symbol like "⁴√x". If present, simply input the number after selecting this function.

2. Using the "x√y" or "n√x" Function (Most Common):

   • Input the index (4): Type '4' into your calculator.

   • Access the Root Function: Press the "shift" or "2nd" key, then locate and press the key with the "x√y" or "n√x" symbol. This will activate the root function. On some calculators, the order might be reversed (press the root function key before inputting the index).

   • Input the Number: Type the number you want to find the 4th root of (the radicand).

   • Press Enter: Press the "=" or "Enter" key to calculate the 4th root.

Example: To find the 4th root of 81:

1. Type 4.
2. Press Shift or 2nd and then the x√y or n√x key.
3. Type 81.
4. Press Enter. The calculator should display 3.

Explanation: The 4th root of 81 is 3 because 3 3 3 * 3 = 81.

Graphing Calculators: Some graphing calculators have a dedicated function within their math menus to calculate nth roots. Refer to your calculator's manual for the precise steps. As the reference material states, a function that represents the xth root of a number is present.

Note: Make sure to consult your calculator's manual for the most accurate instructions, as button layouts and function names can vary between models.