Simplify and classify the result as rational or irrationa $$ \sqrt{8} $$

Question

UpStudy AI · Accepted Answer

To simplify and classify the expression $$ \sqrt{8} $$:

### **Simplification:**
$$
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
$$

### **Classification:**
- **Rational or Irrational?**

The number $$ \sqrt{2} $$ is **irrational**, meaning it cannot be expressed as a fraction of two integers. Multiplying an irrational number by a rational number (in this case, 2) results in an **irrational** number.

Therefore, $$ 2\sqrt{2} $$ is **irrational**.

### **Final Answer:**
$$
\sqrt{8} = 2\sqrt{2} \quad \text{(Irrational)}
$$
$$ \sqrt{8} = 2\sqrt{2} $$ (Irrational)

Simplify and classify the
result as rational or irrationa

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Pre Algebra Questions