the monomial 36x^4 is a perfect square. what is the square root of 36x^4?\n6x^2\n6x^4\n18x^2\n18x^4

the monomial 36x^4 is a perfect square. what is the square root of 36x^4?\n6x^2\n6x^4\n18x^2\n18x^4

the monomial 36x^4 is a perfect square. what is the square root of 36x^4?\n6x^2\n6x^4\n18x^2\n18x^4

Answer

Explanation:

Step1: Encontrar la raíz cuadrada de 36

$\sqrt{36}=6$

Step2: Encontrar la raíz cuadrada de $x^{4}$

Usando la regla $\sqrt{x^{n}} = x^{\frac{n}{2}}$, para $n = 4$, tenemos $\sqrt{x^{4}}=x^{2}$

Step3: Multiplicar los resultados

$\sqrt{36x^{4}}=\sqrt{36}\cdot\sqrt{x^{4}} = 6x^{2}$

Answer:

A. $6x^{2}$