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How do I simplify root 20 plus 2 root 45 - root 80?

Updated: 4/28/2022
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AmeliaHartley

Lvl 1
11y ago

Best Answer

√20 + 2√45 - √80

20 = 2 x 2 x 5 = 22 x 5, so √20 is 2√5

45 = 3 x 3 x 5 = 32 x 5 so √45 = 3√5

80 = 4 x 4 x 5 = 42 x 5, so √80 is 4√5:

After simplifying each radical:

2√5 + 2(3√5) - 4√5

2√5 + 6√5 - 4√5

Combine like terms:

(2+6-4)√5

4√5

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Wiki User

11y ago
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Q: How do I simplify root 20 plus 2 root 45 - root 80?
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