Question

v^7 = 2.6457 rational or irrational

Answers

Answered by GPT 3.5
The expression v^7 = 2.6457 can be written as a power with a rational exponent: v = (2.6457)^(1/7).

To determine if it is rational or irrational, we need to determine if the value inside the parentheses, 2.6457, is rational or irrational.

The value 2.6457 is a decimal and not a perfect square, thus it is irrational.

Therefore, v = (2.6457)^(1/7) is an irrational number.
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