Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer: Â Irrational
==========================================================
Explanation:
Let's assume that pi+1 is rational
If so, then pi+1 = m/n where m and n are integers and n is not zero.
Let's isolate pi
pi+1 = m/n
pi = (m/n) - 1
pi = (m/n) - (n/n)
pi = (m - n)/n
This says that pi is rational, as it's in the form integer/integer. But in reality, pi is irrational. The decimal form of pi goes on forever without any known pattern.
So going back to the assumption where we said "pi+1 is rational", that assumption can't be true. If it were true, then it leads to a contradiction. Therefore, pi+1 is irrational.
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\huge\text{\boxed{\mathsf{\pi + 1}}}}\\\boxed{\boxed{\huge\text{\boxed{= \mathsf{3.141593 + 1}}}}}\\\\\boxed{\boxed{\huge\text{\boxed{= \bf 4.141593}}}}\\\\\boxed{\huge\text{\boxed{\pi \approx \bold{3.14}\ \& \ 3.14 + 1\ is \approx \bf \underline{\underline{4.14}}}}}[/tex]
[tex]\huge\bullet\huge\text{ Pi \boxed{\pi} is an irrational number so any}\\\huge\text{real numbers (0 \& up) cannot be}\\\huge\text{indicated (expressed) by the clearer}\\\huge\text{(simple) fraction\bf (s)}[/tex]
[tex]\boxed{\boxed{\huge\text{To \underline{ANSWER} Your question it is: \bf \underline{\underline{irrational}}}}}\huge\checkmark[/tex][tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\boxed{\huge\text{\boxed{\frak {Amphitrite1040:)}}}}[/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
