x is rational number (not natural number) then, prove that 15^x is irrational number.

Ibrahim Rosales

Ibrahim Rosales

Answered question

2022-07-27

x is rational number (not natural number)
then, prove that 15 x is irrational number.

Answer & Explanation

Quenchingof

Quenchingof

Beginner2022-07-28Added 14 answers

Step 1
Given that x is a rational number but not natural number.
Then x can be expressed as a ratio of an integer to a non-zero integer.
Letx = p / q, where p is an negative integer and q is non-zero integer.
Step 2
Now, 15 x = 15 ( p / q ) = ( 15 p ) / q = 15 p / q
Then, 15x is also a rational number.<br<I think you have made any mistake in your question (15x is not irrational number, but you have wrote 15x is irrational number).

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