Question

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

Answer 1

Answer: $9x^8, 25x^{12} , 36x^{16}$

Step-by-step 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.

Answer 2

Answer:

B, D, E

Step-by-step explanation:

I just did the unit test and got it right