Algebra : Simplify

Simplify: 3 out side square root box. Inside square root box is 8a to the sixth power and b to the 13th power (times) 3 out side square root box. Inside square root box is 8 b to the second power.

Infinite Groups

Find an infinite group such that every element has finite order.

integers

Prove that every element of has finite order, where is the set of rational numbers with group operation + and is the set of integers.

Algebra : Simplify

(1/3)x-4>1/2 + (3/2)x

Algebra : Simplify

U=7(v-w)

Algebra : Solve the Inequality for X

6x/3+5/6<4x/3+13

3 men paint a fence. How long will it take each of them to paint the fence by himself? Use Gaussian elimination.

Solve using the Gaussian Elimination and show all work. Mike, Joe and Bill are Painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours, or if Mike and Joe work together for 2 hours, and Bill works alone for 5 hours, or if Mike works alone for 6 hours, Joe works ...continues

Complex Cube Roots

Find all the complex cube roots of 2.

Polynomial Proof

Suppose P is a polynomial with real coefficients and P(a+bi)=0. Prove (a-bi)=0

Real Numbers : Algebraic Proofs

Please see the attached file for the fully formatted problems. Please do 1 -3 1. Suppose r and s are positive real numbers. Define r.s to be {xEQ|x<0 or x=yz with yEr, zEs, y>0,z>0}. Prove that r.s is a real number. 2. Find all complex cube roots of 2. 3. Write in the form a + bi a)1/(3-2i) b)(1/2^1/2 + i/2^1/2)^5 - ...continues