Respuesta :

Answer:

[tex]5i - 3 \sqrt{6} [/tex]

Step-by-step explanation:

The given expresion is

[tex]5i - \sqrt{54} [/tex]

We need to remove the highest perfect square from the radicand.

We rewrite 54 as 6*9

This gives us:

[tex]5i - \sqrt{9 \times 6} [/tex]

This is the same as

[tex]5i - \sqrt{9} \times \sqrt{6} [/tex]

We now simplify to get:

[tex]5i - 3 \sqrt{6} [/tex]

The correct answer to the solution is -15 √ 6