How do you solve r(raised to the third power)=288?
take the cube root of each side
r= cubrt(288)=cubrt(144*2)=cubrt(4*3*3*4*2)
= cubrt(3^2 *2^3*2^2)=2cubrt(36)
check that
You could use this cube root calculator.
http://www.analyzemath.com/Calculators_3/cube_root_calculator.html
To solve the equation r^3 = 288, you can follow these steps:
1. Start by isolating the cube term, r^3. In this case, it is already isolated on one side of the equation.
2. Next, take the cube root of both sides of the equation to undo the cube exponent. The cube root (∛) of r^3 is simply r. So, we have:
∛(r^3) = ∛288
r = ∛288
Keep in mind that the cube root can have both a positive and negative value, so we will get three solutions for r.
3. Finally, using a calculator, find the cube root of 288 to get the approximate values of r. The cube root of 288 is approximately equal to ±6.
Therefore, the solutions to the equation r^3 = 288 are r = 6 and r = -6, since both positive and negative values will satisfy the equation.