Square Roots math worksheets for math instruction, math ... - Free Printable

It looks like you've uploaded a worksheet titled "Multiplying Square Roots", which contains problems where students are asked to multiply expressions involving square roots. However, since I can't view images directly, I can’t see the specific problems in your image.

But I can help you solve this type of problem and guide you through the process. Here’s how to approach multiplying square roots:

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🔧 General Rule:

To multiply two square roots:
\[
\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}
\]

You can also simplify the result by factoring out perfect squares.

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✔ Example:

Let’s say one of the problems is:
\[
\sqrt{2} \times \sqrt{8}
\]

Step 1: Multiply under the radicals:
\[
\sqrt{2 \times 8} = \sqrt{16}
\]

Step 2: Simplify:
\[
\sqrt{16} = 4
\]

So, the answer is 4.

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🧩 More Complex Example:

\[
\sqrt{12} \times \sqrt{3}
\]

Step 1:
\[
\sqrt{12 \times 3} = \sqrt{36} = 6
\]

Or, simplify first:
\[
\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}, \quad \text{so} \quad 2\sqrt{3} \times \sqrt{3} = 2 \times 3 = 6
\]

Same result!

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💡 Tips:

- Always look for perfect squares inside the radicals.
- You can factor before multiplying if it helps simplify.
- If there are coefficients (numbers outside the radical), multiply them separately.

For example:
\[
3\sqrt{5} \times 2\sqrt{10} = (3 \times 2) \times \sqrt{5 \times 10} = 6\sqrt{50}
\]
Then simplify:
\[
\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}, \quad \text{so} \quad 6 \times 5\sqrt{2} = 30\sqrt{2}
\]

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If you can type out the specific problems from the worksheet (or describe them), I’ll solve each one step-by-step and explain clearly.

Alternatively, if you can describe what’s on the worksheet (e.g., “Problem 1: √3 × √12”), I can walk you through all of them.

Just let me know!