ASSIGNMENT QUESTIONS- with algebra equations

nat_94
Messages
2
Reaction score
0
i don't understand these equations and can't find a way to do them from my textbook or any websites please help..

(a) √(2^2+2 x 2+1)

(b) -√(〖25〗^2-) 〖24〗^2

(c) (7x +y)^2 - (7x - y)^2
 
Physics news on Phys.org
Because this are "assignment questions", I am moving this to "homework and classwork".
 
nat_94 said:
i don't understand these equations and can't find a way to do them from my textbook or any websites please help..

(a) √(2^2+2 x 2+1)
Do you know what \sqrt{a^2} is?

(b) -√(〖25〗^2-) 〖24〗^2
This doesn't make much sense. What does \sqrt{(25)^2-} mean?

(c) (7x +y)^2 - (7x - y)^2
surely it is not that hard to square? (a+ b)^2= a^2+ 2ab+ b^2.
 
sorry i typed the equations on word and copy andpasted them, they changed format.
i mean
(b) -√(25^2-24^2
 
Can you rewrite part a? I don't understand what the equation is.

For part b) here is a clever hint: 25 = 24 + 1

For part c) use this property: (a-b)(a+b)=a^{2}-b^{2}. Can you figure out what to do from here?
 
Last edited:
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top