Question

Which of these expressions represent solutions to the equation y3 = 64?

Select each correct answer.

Question 1 options:

−64−−√3

64−−√3

–8


8


-4


4

Answer 1

Answer:

4 and $\sqrt[3]{64}$

Step-by-step explanation:

$y^{3} = 64$

$y = \sqrt[3]{64} = 4$

Answer 2

The expression y³ = 64 can be represented as y = ∛64  and y = 4 option second and sixth is correct.

It is given that the $\rm y^3 = 64$

It is required to find the cube roots of the above equation.

What is a cube root?

It is defined as the number if we multiply the cube root of a number itself three times we will get the original number for example the cube root of x is z then $\rm z^3 = x$.

We have an expression:

$\rm y^3 = 64$

We can write the above expression in the form:

$\rm y = \sqrt[3]{64}$

$\rm y = \sqrt[3]{4\times4\times4}$   ( 64 = 4×4×4)

$\rm y = \sqrt[3]{4^3}$

y = 4

Thus, the expression y³ = 64 can be represented as y = ∛64  and y =4 option second and sixth is correct.

Learn more about the cube root here:

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