Question

What is the simplified form of the square root of the quantity 72 times n to the thirteenth power.?

8nthe square root of the quantity 3 times n to the sixth power.
3n6the square root of the quantity 8 times n.
8n6the square root of the quantity 3 times n.
6n6the square root of the quantity 2 times n.

Answer 1

First of all you take \[\sqrt{72}\] then you will get \[6\sqrt{2}\] and then you take \[\sqrt{n^{13}}\] which will be\[n^6\sqrt{n}\] cus \[\sqrt{n^{13}} = n^{\frac{ 13 }{ 2 }} \] which is \[n^6\sqrt{n}\] then the answer will be the last chioce (D)
Let me know if you got it :)

Answer 2

thank you, i got it!