The perfect square monomial and its square root are shown in options 1, 2, and 5.
A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
1) 121, 11
11² = 121
A perfect square monomial and its square root are represented by this equation.
2) 4x², 2x
(2x)² = 4x²
A perfect square monomial and its square root are represented by this equation.
3) 9x²-1, 3x-1
(3x-1)² = 9x²- 6x +1
This phrase does not depict a square monomial and its square root in perfect form.
4) 25x, 5x
(5x)² = 25x²
This phrase does not depict a square monomial and its square root in perfect form.
5) 49(x^4), 7x²
(7x²)² = 49(x^4)
A perfect square monomial and its square root are represented by this equation.
