How do you simplify $(5 + 2 \sqrt{2}) (8 - 3 \sqrt{2})$ $(5 + 2sqrt2)(8 - 3sqrt2)$ ?

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How do you simplify $(5 + 2 \sqrt{2}) (8 - 3 \sqrt{2})$ $(5 + 2sqrt2)(8 - 3sqrt2)$ ?

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Answer 1 · 2018-07-19T16:22:30

See a solution process below:

Explanation:

To multiply and simplify these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$(5 + 2 \sqrt{2}) (8 - 3 \sqrt{2})$ $(color(red)(5) + color(red)(2sqrt(2)))(color(blue)(8) - color(blue)(3sqrt(2)))$ becomes:

$(5 \times 8) - (5 \times 3 \sqrt{2}) + (2 \sqrt{2} \times 8) - (2 \sqrt{2} \times 3 \sqrt{2})$ $(color(red)(5) xx color(blue)(8)) - (color(red)(5) xx color(blue)(3sqrt(2))) + (color(red)(2sqrt(2)) xx color(blue)(8)) - (color(red)(2sqrt(2)) xx color(blue)(3sqrt(2)))$

$40 - 15 \sqrt{2} + 16 \sqrt{2} - 6 {(\sqrt{2})}^{2}$ $40 - 15sqrt(2) + 16sqrt(2) - 6(sqrt(2))^2$

$40 + (- 15 + 16) \sqrt{2} - (6 \times 2)$ $40 + (-15 + 16)sqrt(2) - (6 xx 2)$

$40 + 1 \sqrt{2} - 12$ $40 + 1sqrt(2) - 12$

$40 + \sqrt{2} - 12$ $40 + sqrt(2) - 12$

$40 - 12 + \sqrt{2}$ $40 - 12 + sqrt(2)$

$28 + \sqrt{2}$ $28 + sqrt(2)$

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How do you simplify $(5 + 2 \sqrt{2}) (8 - 3 \sqrt{2})$ $(5 + 2sqrt2)(8 - 3sqrt2)$ ?

1 Answer

Explanation:

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How do you simplify (5+2√2)(8−3√2)(5 + 2sqrt2)(8 - 3sqrt2)?

1 Answer

Explanation:

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How do you simplify $(5 + 2 \sqrt{2}) (8 - 3 \sqrt{2})$ $(5 + 2sqrt2)(8 - 3sqrt2)$ ?