Question

PLEASE HELP AND DON'T GUESS AND PLEASE SHOW YOUR WORK THANK YOU VERY MUCH

Simplify each radical expression. Leave in radical form. Show your work.
5. the square root of 45n^5
6. the squareroot of 75 = the square root of 3
7. the squareroot of 7(the squareroot of 15 = the square root of 3)

Answer 1

`√(45n^5)=√(9*5n^4n)=3n^2√(5n)`


`√(75)+\sqrt3=√(25*3)+\sqrt3=5\sqrt3+\sqrt3=6\sqrt3`

(or
`4\sqrt3` is that = is supposed to be a minus sign)


`\sqrt7(√(15)+\sqrt3)=\sqrt7(√(5*3)+\sqrt3)=\sqrt7(\sqrt5\sqrt3+\sqrt3)=\sqrt7\sqrt3(1+\sqrt5)`

Now depending on how you want to simplify this, you could finish by writing
`√(21)(1+\sqrt5)` (or
`√(21)(-1+\sqrt5)` if that = is a minus)