can someone check my answer:

3�ã486
my answer is 27�ã6
if not show me where I went wrong please

you are right.

(did you see my post to you earlier on how to create square root sign?
Does it not work for you?)

3√486 = 3√81*√6
=27√6

To check your answer, we will simplify both expressions and compare them:

Your answer: 27√6
Given expression: 3√486

To simplify the given expression, we can find the prime factorization of 486:
486 = 2 * 3^5

Now we can rewrite the expression using the prime factorization:
3√(2 * 3^5)

Simplifying further:
3√(2) * 3√(3^5)

Since 3 is the cube root (3√), we can rewrite it as 3^(1/3):
2^(1/3) * 3^(5/3)

Now let's simplify your answer and compare it to the given expression:
27√6 = 27√(2 * 3)

Simplifying further:
27√(2) * 27√(3)

Since 27 is the cube of 3 (3^3), we can rewrite it as 3^3:
3^3 * 3^(1/3)

Using the properties of exponents, we can add the exponents when multiplying with the same base:
3^(3 + 1/3)

Simplifying further:
3^(10/3)

Comparing the simplified expressions, we see that they are the same: 3^(5/3) = 3^(10/3).

Therefore, your answer of 27√6 is correct and equivalent to 3√486. Well done!