Question

Which monomials are perfect squares? Check all that apply. 6x2 9x8 16x9 25x12 36x16

Answer 1

B, D, E

Explanation:

I just did the unit test and got it right

Answer 2

Answer:
`9x^8, 25x^(12) , 36x^(16)`

Explanation:

Let's check all the monomials

`6x^2`

Here 6 is not square digit, hence this monomial is not a perfect square.

`9x^8=(3)^2(x^4)^2 =(3x^4)^2`

Here 9 is a square digit and the power of x i.e. 8 is multiple of 2 .

Hence, this monomial is a perfect square.

`16x^9`

Here 16 is a square digit but the power of x i.e.9 is not multiple of 2 .

Hence, this monomial is not a perfect square.

`25x^(12) =(5x^6)^2`

Here 25 is a square digit and the power of x i.e. 12 is multiple of 2 .

Hence, this monomial is a perfect square.

`36x^(16)=(6x^8)^2`

Here 36 is a square digit and the power of x i.e.16 is multiple of 2 .

Hence, this monomial is a perfect square.