Rational because 5^3
irrational
"When the radicand equals zero" is the one among the following choices given in the question that you can tell when <span>a quadratic equation has two identical, rational solutions. The correct option among all the options that are given in the question is the fourth option or option "d". I hope the answer has helped you.</span>
Step-by-step explanation:
The volume of a cube is

where a is the side length,
Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally
The area of a square with side length a, is

If we multiply that by the height of the cube, which is a.

That is the easy way to derive the formula of the volume of a cube.
Back on track, we know the volume so we must solve for a.
1.

Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.
To do this, we take the cube root of both sides
![\sqrt[3]{125} = \sqrt[3]{a {}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7Ba%20%7B%7D%5E%7B3%7D%20%7D%20)
The cube root of 125 is 5 so

5 cm
2.

![\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B8%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B3%7D%20%7D%20)

2 ft
3.


7 yd
4.


10 mm
5.


12 in. or 1 ft
6.


1 m
2? because you add 6 and 3 together and get 9 then you subtract 11 by 9 and get 2