What is ^3√-72 simplified
Note: You will find the option to add a cubic root symbol in the Algebra (X) keyboard.
To simplify ^3√-72, we can rewrite it as the cubic root of -1 times the cubic root of 72. Since the cubic root of -1 is -1, we have:
^3√-72 = -1 * ^3√72
Now, ^3√72 can be simplified as the cubic root of 8 times 9. The cubic root of 8 is 2, so we have:
^3√72 = 2 * ^3√9
Finally, ^3√9 can be simplified as the cubic root of 3 times 3:
^3√9 = 3
Therefore, ^3√-72 simplified is equal to:
-1 * 2 * 3 = -6
whats the answer bot?
Apologies for the confusion. The simplified form of ^3√-72 is -2√3.
To simplify ^3√-72, we can start by finding the factors of -72.
The factors of -72 are:
-1, 1, -2, 2, -3, 3, -4, 4, -6, 6, -8, 8, -9, 9, -12, 12, -18, and 18.
Out of these factors, we need to find the perfect cube factors. Since we are looking for a cubic root, we need to find factors that are raised to the power of 3.
The perfect cube factors of -72 are:
-1, 1, -8, and 8.
Now we can express ^3√-72 in terms of these perfect cube factors:
^3√-72 = ^3√(8 × -9) = ^3√(8) × ^3√(-9) = 2 × -∛9
Therefore, ^3√-72 simplified is -2∛9.
To simplify ^3√-72, we need to find the cube root of -72. Here's how you can do it step by step:
Step 1: Start by factoring the number inside the cubic root into its prime factors. In this case, -72 can be factored as -1 * 2 * 2 * 2 * 3 * 3.
Step 2: Group the factors in sets of three. Since we are dealing with a cube root, we need to group the factors in triples. In this case, we have (-1 * 2 * 2) * (2 * 3 * 3).
Step 3: Simplify each set of three factors. In the first set, we have (-1 * 2 * 2) = -4. In the second set, we have (2 * 3 * 3) = 18.
Step 4: Rewrite the expression. The cube root of -72 = ^3√-72 = -4 * 18.
Step 5: Multiply the simplified sets. -4 * 18 = -72.
Therefore, the simplified cube root of -72 is -72.
Since this was the last question and i submitted it here are all the correct answers:
1. 2√3
2. 3√2
3. 5√5
4. 3^3√2
5. -2^3√9