Answer:
Option 1,2 and 5 represent a perfect square monomial and its square root.
Explanation:
To find : Which expressions represent a perfect square monomial and its square root? Check all that apply.
Solution :
1) 121, 11
As
![(11)^2=121](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wx2l6kqyutivebswwutw3kgfhsm3zr7mxp.png)
This expression represents a perfect square monomial and it’s square root.
2)
![4x^2,2x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2judbxbz9ql4tmzn11uilk7d16ubuq2w6c.png)
As
![(2x)^2=4x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9b0q9jk8jdk3ndktitb5uumwgytzlhudjr.png)
This expression represents a perfect square monomial and it’s square root.
3)
![9x^2-1,3x-1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e7wdrq9apb76awvut04f8l9oziwrx6ana2.png)
As
![(3x-1)^2=9x^2+1-6x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s2qgg98b0g9lhtl3af0xhuzcak2zc82e3w.png)
This expression does not represents a perfect square monomial and it’s square root.
4)
![25x,5x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jjimevbxdp111w4wr7nzhb6320zhvuvyai.png)
As
![(5x)^2=25x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xdymbwdoh4h9rfairf1nauuxgbx92rjtqq.png)
This expression does not represents a perfect square monomial and it’s square root.
5)
![49x^4,7x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tripvdxl9o93y59tg6rke92b3g5dhqa7c0.png)
As
![(7x^2)^2=49x^4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8snzcqcz5cixz14atvstxv2mbdvghf5m6h.png)
This expression represents a perfect square monomial and it’s square root.
Therefore, Option 1,2 and 5 represent a perfect square monomial and its square root.