Question

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

Answer 1

9x^8 = (3x^4)^2
25x^12 = (5x^6)^2
36x^16 = (6x^8)^2

answer
9x^8
25x^12
36x^16

Answer 2

Answer: Options Third, Second , Fourth are correct.

Explanation:

Since we have given that

`6x^2\\\\9x^8\\\\16x^9\\\\25x^(12)\\\\36x^(16)`

Since we know that

9, 16, 25, 36 are perfect squares.

So, we get that

`9x^8=(3x^4)^2\\\\25x^(12)=(5x^6)^2\\\\36x^(16)=(6x^8)^2`

Hence, Options Third, Second , Fourth are correct.