The value of z after solving the equation z³ = 8 is 2.
<h3>Define cube root.</h3>
The result of a number (x) being multiplied three times is referred to as the cube of that number. The phrase "cube root" in mathematics means "the number that needs to be multiplied three times in order to acquire the original number." Let's now examine the cube root formula, in which y is equal to the cube root of x. ∛x = y. Any integer can be represented as the cube root by the radical sign ∛, which has a little 3 written on the top left of the sign. Writing 1/3 as a number's exponent is another method to represent a cube root.
The given equation
z³ = 8
The number 8 can be written as
8 = 2 × 2 × 2
= 2³
So,
z³ = 2³
So, comparing both sides, we get
z = 2
This is the solution to the equation.
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