What is the square root of 45n^5 with work shown? show your

It's 45n^(5/2)
square root of 45n^5=(45n^5)^(1/2)=45n^(5*1/2)=45n^(5/2)

Here, √45n⁵
= Solve for constant first:
√9 × √5
3√5

Now, for variable, √n⁵ = √n⁴ . √n = n²√n
Now, combine then, 3n²√5n

In short, Your Answer would be: 3n²√5n

Hope this helps!