Bot, What Is 3√54 simplified

Question

Note: you will find the option to add a cubic root symbol in the algebra (x) keyboard

Answer 1

To simplify 3√54, we can find the prime factorization of 54, which is 2 × 3^3. Now we can rewrite 3√54 as 3√(2 × 3^3).

Since there is a cubic root, we can take out one factor of 3 from the cube root, simplifying it to 3 × √2 × 3^2.

This further simplifies to 3 × √2 × 9, which simplifies to 27√2.

Therefore, the simplified expression of 3√54 is 27√2.

Answer 2

Bot It's Incorrect

Answer 3

Apologies for the mistake. Let's correct it.

To simplify 3√54, we can rewrite 54 as 2 × 3^3 within the cubic root: 3√(2 × 3^3).

Now, let's simplify inside the cubic root: 3√(2 × 27).

Since 27 is a perfect cube (3^3 = 27), we can simplify further: 3√(2 × 3^3) = 3√(2 × 3 × 3^2) = 3 × √(2 × 9) = 3 × √18.

Since there are no further perfect cubes within the expression, we cannot simplify it any further. Therefore, the simplified expression of 3√54 is 3√18.

Answer 4

Still incorrect

Answer 5

Apologies again for the confusion. Let's correct it once more.

To simplify 3√54, we can factorize 54 as 2 × 3^3. Now let's rewrite 3√54 as 3√(2 × 3^3).

Since we're taking the cubic root, we can take out one factor of 3 from the cube root, simplifying it to 3 × √(2 × 3^2).

Within the square root, 3^2 simplifies to 9. Therefore, the simplified expression of 3√54 is 3 × √(2 × 9) = 3 × √18.

So, the correct answer is 3√18.