Mathematics Homework Solutions
#98111
Methods of proof
Prove that the square of an even number is an even number using:
a) a direct proof
b) an indirect proof
c) proof by contradiction
This shows how to prove the square of an even number is even using various methods.
What is this?
By OTA - Overall OTA Rating
Changping Wang, MA - 4.9/5
Purchase Cost Now
$2.19 CAD (was ~$11.97)
Included in Download
- Plain text response
Why you can trust BrainMass.com
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- Perfect Square Proof - Prove that 2 * 10^500 + 15 or 2 * 10^500 + 16 is not a perfect square. Is your proof constructive or nonconstructive? Note: ^ is to the power of
- Proof by induction - Prove (by induction or any other way) that for any natural n the following is true: 1/(1x2) + 1/(2x3) + ..... + 1/[n(n+1)] = 1 - 1/(n+1)
- Prime Factorization : Proof - Square-Free Integers - Show that every positive integer n can be written in the form n = ab where a is square-free and b is a square. Show that b is thi the largest square dividing n. (A square-free integer is an integer t ...
- Differentiation Proof : Use the fact that lul = the square root of u^2 to prove that d/dx[lul] = u'(u/lul). - Let u be a differentiable function of x. Use the fact that lul = the square root of u^2 to prove that d/dx[lul] = u'(u/lul). u is not equal to zero.
- An elegant proof of pythagoras' theorem - Prove Pythagoras' theorem.
