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Seventh Root Calculator

7th Root Calculator

What is a seventh root?

The seventh root of a number is the number that would have to be multiplied by itself 7 times to get the original number.
For example, the seventh root of 2,187 is 3 as 3 x 3 x 3 x 3 x 3 x 3 x 3 is 2,187.
The seventh root of 16,384 is 4, as 4 x 4 x 4 x 4 x 4 x 4 x 4 is 16,384.

How to calculate seventh root

Even for perfect seventh root numbers, seventh root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the seventh root of 2,097,152
1) Try a number – 5 : 5 x 5 x 5 x 5 x 5 x 5 x 5 = 78,125 (too low)
2) Try another number that is more than 5 – 6 : 6 x 6 x 6 x 6 x 6 x 6 x 6 = 279,936(too low)
3) Try a number that is more than 6 – 10 – 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000 (too high)
4) Try a number in between 6 and 10 – 8 – 8 x 8 x 8 x 8 x 8 x 8 x 8 = 2,097,152(answer)
A seventh root can also be calculated as the same number to the exponent 1/7.
7√number = number1/7

Table – Seventh Root (7√) of 1 – 100

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