Hi! Just need confirmation.
3(sqrtroot)-27; My answer is -3 because 3 x 3 x 3 is 27. Thank you so much!!
meant to say -3 x-3 x-3.
Yes, cube root of -27 is indeed -3,
(because (-3)(-3)(-3) = -27 )
Hi there! It seems like you're trying to simplify the expression 3√(-27). However, there's a small misunderstanding in your approach.
The expression 3√(-27) involves finding the cube root of -27. Remember that when you have a negative number inside a square root, the square root is not defined for real numbers. However, in the case of cube roots, we can still find a solution.
To simplify 3√(-27), we can start by separating -27 into its factors: -27 = -1 x 3 x 3 x 3. Now we can rewrite the expression as 3√(-1 x 3 x 3 x 3).
Next, we can simplify the cube root by breaking down 3√(-1 x 3 x 3 x 3) into two parts: 3√(-1) x 3√(3 x 3 x 3).
The cube root of -1 is -1 because (-1 x -1 x -1) = -1. So, we have -1 x 3√(3 x 3 x 3).
Finally, evaluating 3√(3 x 3 x 3), we find that the cube root of 3 x 3 x 3 is 3 because (3 x 3 x 3) = 27.
Putting it all together, we have -1 x 3, which equals -3. So, the simplified expression is indeed -3.
Therefore, your answer of -3 is correct! Well done! If you have any more questions, feel free to ask!