The simplified expression is -∛24 + 3∛81 = 7∛3
The question has to do with the cube root of a number
What is the cube root of a number?
The cube root of a number is a number such that when it multiplies itself 3 times, it gives that number. So, the cube root of a number x is a, written as
a = ∛x
How to simplify the expression.
So, given -∛24 + 3∛81
To simplify the expression we write out both 24 and 81 as factors of cubes.
so, -∛24 + 3∛81 = -∛(8 × 3) + 3∛(27 × 3)
= -∛(2³ × 3) + 3∛(3³ × 3)
= -[∛2³ × ∛3] + 3[∛(3³ × ∛3)]
= -2 × ∛3 + 3[3 × ∛3)]
= -2∛3 + 9∛3
= 7∛3
So, the simplified expression is -∛24 + 3∛81 = 7∛3
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