Question
9. Simplify: \( \begin{array}{ll}\text { a. } \sqrt{56} & \text { b. } \sqrt{80}\end{array} \)
Ask by Frank Kirk. in the United States
Jan 24,2025
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Answer
\( \sqrt{56} = 2\sqrt{14} \) and \( \sqrt{80} = 4\sqrt{5} \).
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Beyond the Answer
To simplify \( \sqrt{56} \), start by breaking it down into its factors: \( 56 = 4 \times 14 \). Since \( 4 \) is a perfect square, you can simplify \( \sqrt{56} \) as \( \sqrt{4 \times 14} = \sqrt{4} \times \sqrt{14} = 2\sqrt{14} \). For \( \sqrt{80} \), factor it into \( 80 = 16 \times 5 \). Here, \( 16 \) is another perfect square, so you simplify \( \sqrt{80} \) as \( \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} = 4\sqrt{5} \).