Which calculation can be used to find the value of p in the equation p³ = 8?
p equals cube root of 8
p equals 3 multiplied by the square root of 8
p equals 2 multiplied by square root of 8
p equals square root of 8

Solution:

When we write p³ = 8 it implies that a number multiplied by itself thrice will give the number 8 which basically means the following:

p × p × p = 8

We know that

2 × 2 × 2 = 8

Therefore we say that the cube root of 8 is 2. There are other ways this can be represented.

To find the value of p we we have to cube root of 8 which can be written as :

p = 8^1/3

Or

\(p = \sqrt[3]{8}\)

Which means that p is the cube root of 8.

Similarly 27 can also be written as:

27 = 3 × 3 × 3

And therefore 3 is called the cube root of 27 which is written as :

p = 3 = 27^1/3

Or

\(p = 3 = \sqrt[3]{27}\)

---

Which calculation can be used to find the value of p in the equation p³ = 8?

Summary:

The calculation that can be used to find the value of p in the equation p³ = 8 is p equals cube root of 8.