Questions: Simplify the expression (sqrt(32))/(sqrt(4))

Transcript text: Simplify the expression $\frac{\sqrt{32}}{\sqrt{4}}$

Solution

Solution Steps

Step 1: Simplify the numerator

The numerator is $ \sqrt{32} $. We can simplify this by factoring 32 into its prime factors: \[ \sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2} \]

Step 2: Simplify the denominator

The denominator is $ \sqrt{4} $. This simplifies directly to: \[ \sqrt{4} = 2 \]

Step 3: Divide the simplified numerator by the simplified denominator

Now, divide the simplified numerator by the simplified denominator: \[ \frac{4\sqrt{2}}{2} = 2\sqrt{2} \]

Final Answer

$\boxed{2\sqrt{2}}$

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