Deleon Thornton
08/26/2024 · Senior High School
are now vewing the questions you held earller. Please submit an answer or pass. Perform the operations and simplify: \( 7 \sqrt{20}-\sqrt{80}+3 \sqrt{45} \)
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Step-by-step Solution
Calculate or simplify the expression \( 7*\sqrt(20)-\sqrt(80)+3*\sqrt(45) \).
Calculate the value by following steps:
- step0: Calculate:
\(7\sqrt{20}-\sqrt{80}+3\sqrt{45}\)
- step1: Simplify the root:
\(7\times 2\sqrt{5}-\sqrt{80}+3\sqrt{45}\)
- step2: Simplify the root:
\(7\times 2\sqrt{5}-4\sqrt{5}+3\sqrt{45}\)
- step3: Simplify the root:
\(7\times 2\sqrt{5}-4\sqrt{5}+3\times 3\sqrt{5}\)
- step4: Multiply the terms:
\(14\sqrt{5}-4\sqrt{5}+3\times 3\sqrt{5}\)
- step5: Multiply the terms:
\(14\sqrt{5}-4\sqrt{5}+9\sqrt{5}\)
- step6: Collect like terms:
\(\left(14-4+9\right)\sqrt{5}\)
- step7: Calculate:
\(19\sqrt{5}\)
The simplified form of the expression \(7 \sqrt{20}-\sqrt{80}+3 \sqrt{45}\) is \(19\sqrt{5}\).
Quick Answer
\( 19\sqrt{5} \)
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