Math Help Please?

Question

Classify the given numbers as real and rational, real and irrational, or complex.
1. (4)1/2 + 2

Simplify the following algebraic expressions
2. (u^8z^7)/ z^-3u^-2
3. (6a^2/7b^3)^-2

Answer 1

real and rational

2. u^10z^10
3. 49b^6/36z^4

Answer 2

In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2.4871773339…. The real numbers include both rational numbers, such as 42 and −23/129, and irrational numbers such as square root of 2

complex numbers are all numbers of the form 'a + bi' , where a and b are real numbers and i is an imaginary number whose square equals −1

Answer 3

1. (4)1/2 + 2 <-- real and rational
2. (u^8z^7)/ (z^-3u^-2)
= u^10z^10

3. (6a^2/7b^3)^-2
= (7b^3/6a^2)^2
=49b^6/(36a^4)