Questions: 3√5 - √45

3√5 - √45
Transcript text: $3 \sqrt{5}-\sqrt{45}$
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Solution

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Solution Steps

To solve the expression \(3 \sqrt{5} - \sqrt{45}\), we need to simplify the square root terms. First, simplify \(\sqrt{45}\) by expressing it in terms of its prime factors. Then, perform the subtraction.

Step 1: Simplify \( \sqrt{45} \)

We start by simplifying \( \sqrt{45} \): \[ \sqrt{45} = \sqrt{9 \cdot 5} = \sqrt{9} \cdot \sqrt{5} = 3\sqrt{5} \]

Step 2: Substitute and Simplify the Expression

Now we substitute \( \sqrt{45} \) back into the original expression: \[ 3\sqrt{5} - \sqrt{45} = 3\sqrt{5} - 3\sqrt{5} \]

Step 3: Perform the Subtraction

Performing the subtraction gives: \[ 3\sqrt{5} - 3\sqrt{5} = 0 \]

Final Answer

\(\boxed{0}\)

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