How do you simplify $\sqrt{500} - \sqrt{180} + \sqrt{80}$ $sqrt500-sqrt180+sqrt80$ ?

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How do you simplify $\sqrt{500} - \sqrt{180} + \sqrt{80}$ $sqrt500-sqrt180+sqrt80$ ?

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Answer 1 · 2016-07-16T19:22:41

$8 \sqrt{5}$ $8sqrt5$

Explanation:

Write each number as the product of its prime factors.

$\sqrt{500} - \sqrt{180} + \sqrt{80}$ $sqrt500-sqrt180+sqrt80$

= $\sqrt{5^{2} \times 2^{2} \times 5} - \sqrt{3^{2} \times 2^{2} \times 5} + \sqrt{2^{4} \times 5}$ $sqrt(5^2 xx 2^2 xx 5) - sqrt(3^2 xx 2^2 xx 5) + sqrt(2^4 xx5)$

Find the square roots where possible.

= $10 \sqrt{5} - 6 \sqrt{5} + 4 \sqrt{5}$ $10sqrt5 - 6sqrt5 + 4sqrt5$

= $8 \sqrt{5}$ $8sqrt5$

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How do you simplify $\sqrt{500} - \sqrt{180} + \sqrt{80}$ $sqrt500-sqrt180+sqrt80$ ?

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How do you simplify √500−√180+√80sqrt500-sqrt180+sqrt80?

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How do you simplify $\sqrt{500} - \sqrt{180} + \sqrt{80}$ $sqrt500-sqrt180+sqrt80$ ?