How do you simplify $(4 \sqrt{11} - 2 \sqrt{2}) (6 \sqrt{11} + 8 \sqrt{2})$ $(4sqrt11 - 2sqrt2)(6sqrt11+ 8sqrt2)$ ?

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How do you simplify $(4 \sqrt{11} - 2 \sqrt{2}) (6 \sqrt{11} + 8 \sqrt{2})$ $(4sqrt11 - 2sqrt2)(6sqrt11+ 8sqrt2)$ ?

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Answer 1 · 2017-02-17T19:35:39

$232 + 20 \sqrt{22}$ $232+20sqrt(22)$

Explanation:

Remember: $\sqrt{m} \sqrt{m} = m$ $sqrt(m) sqrt(m) = m$ and $\sqrt{m} \sqrt{n} = \sqrt{m n}$ $sqrt(m) sqrt(n) = sqrt(mn)$

Use the foil technique to distribute:

$4 \sqrt{11} (6 \sqrt{11}) + 4 \sqrt{11} (8 \sqrt{2}) - 2 \sqrt{2} (6 \sqrt{11}) - 2 \sqrt{2} (8 \sqrt{2})$ $4sqrt(11) (6sqrt(11)) + 4 sqrt(11)(8 sqrt(2)) -2sqrt(2)(6sqrt(11)) -2sqrt(2)(8sqrt(2))$

$= 24 (11) + 32 (\sqrt{22}) - 12 \sqrt{22} - 16 (2)$ $= 24(11)+32(sqrt(22)) -12sqrt(22) - 16(2)$

$= 232 + 20 \sqrt{22}$ $= 232 +20sqrt(22)$

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How do you simplify $(4 \sqrt{11} - 2 \sqrt{2}) (6 \sqrt{11} + 8 \sqrt{2})$ $(4sqrt11 - 2sqrt2)(6sqrt11+ 8sqrt2)$ ?

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How do you simplify (4√11−2√2)(6√11+8√2)(4sqrt11 - 2sqrt2)(6sqrt11+ 8sqrt2)?

1 Answer

Explanation:

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How do you simplify $(4 \sqrt{11} - 2 \sqrt{2}) (6 \sqrt{11} + 8 \sqrt{2})$ $(4sqrt11 - 2sqrt2)(6sqrt11+ 8sqrt2)$ ?