Respuesta :
Using it's definition, it is found that the perfect square monomials are given by:
[tex]9x^8, 25x^12, 36x^16[/tex]
What is a perfect square monomial?
It is a term that has an exact square root.
In this problem, we find the square root for each term:
- [tex]\sqrt{6x^2} = x\sqrt{6}[/tex], which is not exact.
- [tex]\sqrt{9x^8} = 3x^4[/tex], which is exact.
- [tex]\sqrt{16x^9} = 4x^4\sqrt{x}[/tex], which is not exact.
- [tex]\sqrt{25x^{12}} = 5x^6[/tex], which is exact.
- [tex]\sqrt{36x^{16}} = 6x^8[/tex], which is exact.
Hence, the perfect square monomials are given by:
[tex]9x^8, 25x^12, 36x^16[/tex]
More can be learned about perfect square monomials at https://brainly.com/question/2741804
