Question

Which monomials are perfect squares? Check all that apply. 1 24 66x 49x2 100x3 81x6

Answer 1

Correct answers for edge :)

Answer 2

Answer:
`1,\ 49x^2,\ 81x^6`

Explanation:

The given monomials are
`1,\24,\ 66x,\ 49x^2,\ 100x^3,\ 81x^6`

1 is a perfect square .

24 is not a perfect square.

In 66x, 66 is not a perfect square.

In
`49x^2`, 49 is a square of 7 and power of x is 2 , so it is a perfect square monomial.

`49x^2=(7x)^2`

In
`100x^3`, 100 is a square but power of x is 3 , so it is not a perfect square monomial.

In
`81x^6`, 81 is a square of 9and power of x is 6 (multiple of 2) , so it is a perfect square monomial.

`81x^6=(9x^3)^2`