How do you solve #a^3 = 216#?

Answer 1

Nathan Axel

See the solution process below:

#a^3 = 216# can be rewritten as:

#a * a * a = 6 * 6 * 6#

Therefore:

#a = 6#

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Answer 2

Ethan Adkins

#6#.

There are 2 possible methods, the first one has a simpler approach:

1) To solve this problem, realize that the number #216# can be factored and rewritten as

#216 = 6^3 = 6*6*6#

Therefore, you can rewrite the equation as

#a^3=6^3#

Since both sides contain a cube, #""^3#, you can use the property of equality to say that #a=6#.

2) This solution will be more likely what you are looking for if you are in Algebra 2 or around that level in mathematics. First, you would subtract #216# from both sides to get

#a^3 - 216=0#

Then, you use the "difference of cubes" factorization method to rewrite this as

#(a-6)(a^2 + 6a + 36) = 0#

Then, you would find the "zeros" of the equation, and there is only one real solution: #6#.

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Answer 3

Eva Adamson

To solve ( a^3 = 216 ), you can find the cube root of 216, which is 6. So, ( a = 6 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.