QuestionJuly 28, 2025

Simplify: sqrt (380) 2sqrt (95) 3sqrt (95) - 4sqrt (19) 10sqrt (19)

Simplify: sqrt (380) 2sqrt (95) 3sqrt (95) - 4sqrt (19) 10sqrt (19)
Simplify: sqrt (380)
2sqrt (95)
3sqrt (95)
-
4sqrt (19)
10sqrt (19)

Solution
4.5(241 votes)

Answer

5\sqrt{95}, 14\sqrt{19} Explanation 1. Simplify each term \sqrt{380} = \sqrt{4 \times 95} = 2\sqrt{95} 2. Combine like terms 2\sqrt{95} + 3\sqrt{95} = 5\sqrt{95} 3. Simplify 4\sqrt{19} + 10\sqrt{19} 4\sqrt{19} + 10\sqrt{19} = 14\sqrt{19}

Explanation

1. Simplify each term<br /> $\sqrt{380} = \sqrt{4 \times 95} = 2\sqrt{95}$<br /><br />2. Combine like terms<br /> $2\sqrt{95} + 3\sqrt{95} = 5\sqrt{95}$<br /><br />3. Simplify $4\sqrt{19} + 10\sqrt{19}$<br /> $4\sqrt{19} + 10\sqrt{19} = 14\sqrt{19}$
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