To find the cube root of 512, we need to determine which number, when multiplied by itself three times, equals 512.
Let's denote the cube root of 512 as [tex]\( x \)[/tex]. This means that:
[tex]\[ x^3 = 512 \][/tex]
To find [tex]\( x \)[/tex]:
1. First, recognize that we are looking for a number [tex]\( x \)[/tex] such that multiplying this number by itself three times results in 512.
2. Therefore, [tex]\( x \)[/tex] is the cube root of 512, which is mathematically represented as [tex]\( 512^{1/3} \)[/tex].
After performing the calculation for the cube root of 512, we find:
[tex]\[ 512^{1/3} \approx 7.999999999999999 \][/tex]
So, the cube root of 512 is approximately 8, very close to the integer 8 but slightly less.
