Respuesta :

Answer:

B

Step-by-step explanation:

The equivalent expression is [tex]16x^{8}[/tex]. So, the correct option is B.

Given:

The given expression is:

[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8},x\neq 0[/tex]

To find:

The equivalent expression.

Explanation:

We have,

[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8}[/tex]

On simplification, we get

[tex]=4x^2(x^2\sqrt{5})3(x^4\sqrt{5})[/tex]

[tex]=(4\times 3)(x^{2+2+4})(\sqrt{5}\times \sqrt{5})[/tex]

[tex]=12(x^{8})(5)[/tex]

[tex]=16x^{8}[/tex]

Therefore, the correct option is B.

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