Chapter ISG, Problem 1.3.8P

To determine

Simplify the expression $2n^2+5n^4-6n^2-3n^4$

Answer to Problem 1.3.8P

  $\sqrt{2}$

Explanation of Solution

Given information:

  $2n^2+5n^4-6n^2-3n^4$

Formula used:

Simplification of equation

Calculation:

  $2n^2+5n^4-6n^2-3n^4$

Now assume the equation is equal to 0 then

  $2n^2+5n^4-6n^2-3n^4=0$

Adjust the same power term

  $2n^2-6n^2+5n^4-3n^4=0$

By subtracting the same power term

  $-4n^2+2n^4=0$

Move the $-4n^2$ term in zero side

  $2n^4=4n^2$

Divide the $2n^2$ both side

  $n^2=2$

Hence, take a root,the final answer is

  $n=\sqrt{2}$