Simplify √27x². I know the answer is 3x√3, but my teacher wants me to show how I solved it and i dont know how...please help.

Respuesta :

Answer:

[tex]3\sqrt{3}x[/tex]

Step-by-step explanation:

Expand √27x² in such a way that it is the :-

  • Product of at either two or more perfect square numbers or,
  • Product of two or more numbers out of which one (or more) is a perfect square number.

So ,

[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]