Sherpa

Maths

>

A-Level

Algebra & Functions

Question

# How can you show a mathematical statement is false?

2 years ago

·

·

1641 views

L

Linnie Kerluke

Hint : Think about proofs.

Devan-Kumar M Verified Sherpa Tutor ✓

Young experienced tutor w a unique understanding of exam specification

3 reviews

You can show (prove) a mathematical statement to be false, by assuming it is true and then showing some logistical flaw if it were to be true. An example would be when trying to prove that the square root of 2 is irrational (i.e. cannot be expressed as a fraction where a and b are integers). You would first assume it was rational, and then a contradiction would arise which would allow you to determine that the square root of 2 cannot in fact be rational.

A simpler way, however, for example, if I said x=3 and you knew 6x=12, would be to say if x=3 6x=18, however, 6x=12, therefore x cannot equal 3.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.

Think you can help?

## Need an A-Level Maths tutor?

Get started with a free online introductions with an experienced and qualified online tutor on Sherpa.

Find an A-Level Maths Tutor