Respuesta :

Answer:

  • Option B

Step-by-step explanation:

The next step is the result of calculating the square roots:

  • [tex]4^{1/2} = 2[/tex]

and

  • [tex]36^{1/2} = 6[/tex]

This will make the step:

  • 2 · [tex]3^{1/2}[/tex] + 6 · [tex]3^{1/2}[/tex] = 8 · [tex]3^{1/2}[/tex]

Correct choice is B

eksponent

  • [tex]\sqrt[n]{x^n} = x[/tex]
  • [tex]\sqrt{x} = x^{1/2}[/tex]

[tex] = 4^{ \frac{1}{2} } .3 ^{ \frac{1}{2} } + \sqrt{36} \times 3^ \frac{1}{2} [/tex]

[tex] = \sqrt{4} \times 3 {}^{ \frac{1}{2} } + 6 \times 3 {}^{ \frac{1}{2} } [/tex]

[tex] = 2 \times 2 + 6 \times 3 {}^{ \frac{1}{2} } [/tex]

[tex] = 4 + 6 \times \sqrt{3} [/tex]

[tex] = 4 + 6 \sqrt{3} [/tex]