Question

Simplify (explanation as well please)

Answer 1

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

Learn more about cube root of a number here:

brainly.com/question/24244304

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