Asked by Bob
Simplify the expression cubed root of 64 + 3 * 2 √2 ^ 2 + 5
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Answered by
GPT 3.5
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.
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.
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