Question

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

Answer 1

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

Step-by-step 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.

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

Answer 2

1,49x^2 and 81^6 are perfect squares<span />