Can the Proof of a Statement be Improved: A Request for Assistance

Thread starter athrun200
Start date Feb 19, 2012

In summary, proving a statement involves providing evidence or logical reasoning to support its truth or validity, while disproving a statement involves providing evidence or logical reasoning to show its falsehood or invalidity. To prove a statement, one must gather evidence from reliable sources and use logical reasoning, such as conducting experiments or using scientific principles. Conversely, to disprove a statement, one must find flaws in the original evidence or provide counterexamples. A statement cannot be both proven and disproven at the same time, and in order to be considered valid, it must be supported by evidence and logical reasoning.

Feb 19, 2012

athrun200

Homework Statement

I would like to ask part (b)

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Homework Equations

The Attempt at a Solution

It seems my proof is not concrete enough. Can anyone help me to improve my proof?

attachment.php?attachmentid=44139&stc=1&d=1329703769.jpg

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Feb 19, 2012

ehild

Homework Helper

Hi athrun200,

The coefficients of both √a and √b have to be -4 in the second line. ehild

1. What is the difference between proving and disproving a statement?

Proving a statement means providing evidence or logical reasoning to support the truth or validity of the statement. Disproving a statement means providing evidence or logical reasoning to show that the statement is false or invalid.

2. How do you prove a statement?

To prove a statement, it is important to gather evidence from reliable sources and use logical reasoning to support the statement. This can include conducting experiments, collecting data, and using mathematical or scientific principles to support the statement.

3. What does it mean to disprove a statement?

To disprove a statement means to provide evidence or logical reasoning that shows the statement is false or invalid. This can involve finding flaws in the original evidence or providing counterexamples that contradict the statement.

4. Can a statement be both proven and disproven?

No, a statement cannot be both proven and disproven at the same time. If there is evidence or logical reasoning to support the statement, it can be considered proven. If there is evidence or logical reasoning to show the statement is false, it can be considered disproven.

5. What makes a statement valid?

A statement is considered valid if it is supported by evidence or logical reasoning. This means that the statement can be proven through scientific methods or logical arguments. It is important to gather reliable and accurate evidence in order to validate a statement.