How do you simplify $(- 3 \sqrt{3 k} + 4) (\sqrt{3 k} - 5)$ $(-3sqrt(3k)+4)(sqrt(3k)-5)$ ?

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How do you simplify $(- 3 \sqrt{3 k} + 4) (\sqrt{3 k} - 5)$ $(-3sqrt(3k)+4)(sqrt(3k)-5)$ ?

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Answer 1 · 2017-11-26T11:25:20

$- 9 k + 19 \sqrt{3 k} - 20$ $-9k+ 19sqrt(3k)-20$

Explanation:

$(- 3 \sqrt{3 k} + 4) (\sqrt{3 k} - 5)$ $(-3sqrt(3k) +4)(sqrt(3k)-5)$ or

$- 3 \sqrt{3 k} \cdot \sqrt{3 k} + 3 \sqrt{3 k} \cdot 5 + 4 \cdot \sqrt{3 k} - 4 \cdot 5$ $-3sqrt(3k)*sqrt(3k)+3sqrt(3k)*5+4*sqrt(3k) -4*5$ or

$- 3 \cdot 3 k + 15 \sqrt{3 k} + 4 \sqrt{3 k} - 20$ $-3*3k +15sqrt(3k)+4sqrt(3k)-20$ or

$- 9 k + 19 \sqrt{3 k} - 20$ $-9k+ 19sqrt(3k)-20$ [Ans]

Answer 2 · 2017-11-26T11:55:28

$- 9 k + 19 \sqrt{3} k - 20$ $-9k+19sqrt3k-20$

Explanation:

$multiply each term in the second factor by each term$ $"multiply each term in the second factor by each term"$
$in the first factor$ $"in the first factor"$

$\Rightarrow (- 3 \sqrt{3 k} + 4) (\sqrt{3 k} - 5)$ $rArr(color(red)(-3sqrt(3k)+4))(sqrt(3k)-5)$

$= - 3 \sqrt{3 k} (\sqrt{3 k} - 5) + 4 (\sqrt{3 k} - 5)$ $=color(red)(-3sqrt(3k))(sqrt(3k)-5)color(red)(+4)(sqrt(3k)-5)$

$distributing gives$ $"distributing gives "$

$∙ note that \sqrt{a} \times \sqrt{a} = a$ $• " note that "sqrtaxxsqrta=a$

$= - 9 k + 15 \sqrt{3 k} + 4 \sqrt{3 k} - 20$ $=-9k+15sqrt(3k)+4sqrt(3k)-20$

$= - 9 k + 19 \sqrt{3 k} - 20$ $=-9k+19sqrt(3k)-20$

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How do you simplify $(- 3 \sqrt{3 k} + 4) (\sqrt{3 k} - 5)$ $(-3sqrt(3k)+4)(sqrt(3k)-5)$ ?

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How do you simplify (−3√3k+4)(√3k−5)(-3sqrt(3k)+4)(sqrt(3k)-5)?

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How do you simplify $(- 3 \sqrt{3 k} + 4) (\sqrt{3 k} - 5)$ $(-3sqrt(3k)+4)(sqrt(3k)-5)$ ?