Question

Cube root of (39+20root2) + Cube root of (39-20root2)

Answer 1

I didnt get it

Answer 2

I dont understand what you have replied

Answer 3

∛(39 + 20√2) + ∛(39 - 20√2)

does not simplify in any meaningful way. Typo?

Answer 4

[AI-generated answer — Explain Bot]

To find the value of the expression, we need to simplify the cube root terms individually and then add them together.

Let's start with the cube root of (39 + 20√2). To simplify this, we need to factorize the number under the cube root:

39 + 20√2 = (9√2 + 20)√2

Now, we can take the cube root of both terms:

Cube root of 39 + 20√2 = Cube root of (9√2 + 20)√2
= Cube root of 9√2 * √2 + 20√2
= Cube root of (9 * 2) + Cube root of 20 * (√2)^2
= Cube root of 18 + Cube root of 20 * 2
= Cube root of 18 + Cube root of 40

Now, let's simplify the cube root of (39 - 20√2):

39 - 20√2 = (9√2 - 20)√2

Taking the cube root of both terms:

Cube root of 39 - 20√2 = Cube root of (9√2 - 20)√2
= Cube root of 9√2 * √2 - 20√2
= Cube root of 9 * (√2)^2 - 20 * √2
= Cube root of 9 - 20√2

Now, we can add the simplified cube root terms together:

(Cube root of 18 + Cube root of 40) + (Cube root of 9 - 20√2)

There is no further simplification possible, so this is the final answer.