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07/30/2024 · Senior High School
Question Multiply: \( (\sqrt{15})(\sqrt{5}) \)
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Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (\sqrt(15))(\sqrt(5)) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\sqrt{15}\right)\left(\sqrt{5}\right)\)
- step1: Evaluate the power:
\(\sqrt{15}\times \left(\sqrt{5}\right)\)
- step2: Evaluate the power:
\(\sqrt{15}\times \sqrt{5}\)
- step3: Use the properties of radicals:
\(\sqrt{15\times 5}\)
- step4: Calculate:
\(\sqrt{75}\)
- step5: Write as a product:
\(\sqrt{25\times 3}\)
- step6: Write in exponential form:
\(\sqrt{5^{2}\times 3}\)
- step7: Use the properties of radicals:
\(\sqrt{5^{2}}\times \sqrt{3}\)
- step8: Simplify the root:
\(5\sqrt{3}\)
The product of \( (\sqrt{15})(\sqrt{5}) \) is \( 5\sqrt{3} \).
Quick Answer
\( 5\sqrt{3} \)
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