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Chapter 12: Problem 33

Simplify the expression. $$\sqrt{3}(5 \sqrt{2}+\sqrt{3})$$

Short Answer

Expert verified
The simplified expression is \(5\sqrt{6} + 3\)

Step by step solution

01

Distribute \(\sqrt{3}\)

Start by distributing the \(\sqrt{3}\) to each term inside the parenthesis: \( \sqrt{3} \times 5\sqrt{2} + \sqrt{3} \times \sqrt{3}\)
02

Multiply the square roots

To multiply the square roots, multiply the numbers under the square roots: \(5\sqrt{6} + 3\)
03

Write the final simplified expression

The expression is simplified as \(5\sqrt{6} + 3\)

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Solve the equation. $$x^{2}=36$$
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