Simplify the expression cubed root of 64 + 3 * 2 √2 ^ 2 + 5

1 answer

To simplify the expression, we can follow the order of operations.

First, let's calculate each part of the expression:

- Cube root of 64: The cube root of 64 is 4 since 4 × 4 × 4 = 64.

- 2 √2 ^ 2: According to the order of operations, we need to perform the power first. Square of 2 is 4. So, the expression becomes 2 × √4, which simplifies to 2 × 2 = 4.

Now, let's substitute these values back into the expression:

Cubed root of 64 + 3 * 2 √2 ^ 2 + 5
= 4 + 3 * 4 + 5
= 4 + 12 + 5
= 21

Therefore, the simplified expression is 21.