Solve \sqrt{42n^{9}} n>0

Evaluate

42 n^{9} \times n > 0

Find the domain

More Steps

42 n^{9} \times n > 0, n \geq 0

Multiply the terms

n 42 n^{9} > 0

Separate the inequality into 2 possible cases

{n > 0 42 n^{9} > 0 {n < 0 42 n^{9} < 0

Solve the inequality

More Steps

{n > 0 n \neq = 0 {n < 0 42 n^{9} < 0

Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is false for any value of n

{n > 0 n \neq = 0 {n < 0 n \in / R

Find the intersection

n > 0 {n < 0 n \in / R

Find the intersection

n > 0 n \in / R

Find the union

n > 0

Check if the solution is in the defined range

n > 0, n \geq 0

Solution

n > 0

Alternative Form

n \in (0, + \infty)