Domanda del libro di testo
Perform the indicated operations. Assume all variables represent positive real numbers. (√3 + √8)²
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0. Review of Algebra
Simplifying Radical Expressions
Scelta multipla
Simplify the radical.
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B
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Guida verificata passo dopo passo1
Identify the expression under the radical: \( \sqrt{63x^2} \).
Break down the expression under the radical into its prime factors: \( 63 = 3^2 \times 7 \) and \( x^2 \).
Apply the property of square roots: \( \sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b} \). This gives us \( \sqrt{3^2 \times 7 \times x^2} = \sqrt{3^2} \cdot \sqrt{7} \cdot \sqrt{x^2} \).
Simplify each part: \( \sqrt{3^2} = 3 \) and \( \sqrt{x^2} = x \). Therefore, the expression becomes \( 3x \cdot \sqrt{7} \).
Combine the simplified terms to get the final simplified expression: \( 3x \sqrt{7} \).
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