LCM Calculator
What is Root (Nth)?
An nth root of a number x is a value r that, when raised to the power of n (multiplied by itself n times), equals x. The n is called the index, the number x is the radicand, and the entire expression is a radical.
Notation:
The nth root is written using the radical symbol (ⁿ√x = y) with the index n placed in the "V" of the symbol.
- n is called the index.
- Number x is the radicand.
- The entire expression is a radical.
How to Find Roots?
There is no specific method to calculate the root value of any number. You can find and guess by following the given steps:
- Write the number you want to find the under root of.
- Choose the degree (n). For example, 2 for the square root, 3 for the cube root, and 4 for the fourth root.
- Guess a close value that could be the root.
- Multiply your guess by itself the required number of times.
- Compare the result with your original number. If the product is smaller than try a slightly larger guess. If it’s larger than try a smaller number.
- Continue adjusting until you get as close as possible to the actual number.
Example:
Find the 4th root of 16.
Solution:
Write the number that, when multiplied by 4, gives 16.
Try the 2: 2×2×2×2=16.
So, the 4th root of 16 is 2.
For large or decimal numbers, manual calculation can take time. That’s why using the above Root Calculator is a faster and more accurate way to find results instantly.
