$ a=\sqrt[3]{0} \sqrt{2} $

Q: $ a=\sqrt[3]{0} \sqrt{2} $

To simplify the expression $ a=\sqrt[3]{0} \cdot \sqrt{2} $, let's break it down step by step. 1. **Cube Root of 0**: The cube root of 0 is simply 0, because $0^3 = 0$. So, $\sqrt[3]{0} = 0$. 2. **Square Root of 2**: The square root of 2, denoted as $\sqrt{2}$, is an irrational number approximately equal to 1.414. But since we're dealing with a multiplication operation, the exact value isn't necessary for this calculation. Putting these together: \[ a = 0 \cdot \sqrt{2} \] Since any number multiplied by 0 equals 0: \[ a = 0 \] So, the simplified expression for $a$ is 0.

Question

Accepted Answer

To simplify the expression $ a=\sqrt[3]{0} \cdot \sqrt{2} $, let's break it down step by step.

1. **Cube Root of 0**: The cube root of 0 is simply 0, because $0^3 = 0$. So, $\sqrt[3]{0} = 0$.

2. **Square Root of 2**: The square root of 2, denoted as $\sqrt{2}$, is an irrational number approximately equal to 1.414. But since we're dealing with a multiplication operation, the exact value isn't necessary for this calculation.

Putting these together:

$$ a = 0 \cdot \sqrt{2} $$

Since any number multiplied by 0 equals 0:

$$ a = 0 $$

So, the simplified expression for $a$ is 0.

\( a=\sqrt[3]{0} \sqrt{2} \)