Find the cube root of −8 : −8−−−√3
The cube root of −8 is −2.
To find the cube root of -8, we can write it as (-8)^(1/3).
To simplify this expression, we can take advantage of the fact that raising a negative number to an odd power will still result in a negative number.
So, (-8)^(1/3) = -2.
Therefore, the cube root of -8 is -2.
To find the cube root of −8, we can use the fact that the cube root of a number is the number that, when multiplied by itself twice, gives the original number.
We can express −8 as −2 × 2 × 2, since −2 × 2 × 2 = −8.
Now, let's find the cube root of each factor:
Cube root of −2:
To find the cube root of a negative number, we can separate the absolute value of the number and then multiply the cube root of the absolute value by −1.
The absolute value of −2 is 2.
The cube root of 2 is approximately 1.26.
Since we separated the absolute value, we multiply the cube root result by −1: -1.26.
Cube root of 2:
The cube root of 2 is approximately 1.26.
Now, let's put the results together:
The cube root of −8 is approximately -1.26 × 1.26 × 1.26 ≈ -2.
Therefore, the cube root of −8 is approximately -2.