What is (5+square root of 3)(4-2square root of 3)?

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What is (5+square root of 3)(4-2square root of 3)?

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Answer 1 · 2018-07-30T01:38:06

$14 - 6 \sqrt{3}$ $14-6sqrt3$

Explanation:

We use the FOIL method to multiply these two expressions.

This means first multiply the terms which occur first in each expression i.e. $5$ $5$ and $4$ $4$ .
Next, we multiply the innermost terms i.e. $\sqrt{3}$ $sqrt3$ and $4$ $4$ .
Then, we multiply the outermost terms i.e. $5$ $5$ and $- 2 \sqrt{3}$ $-2sqrt3$ .
Finally, we multiply the terms that occur last in each expression i.e. $\sqrt{3}$ $sqrt3$ and $- 2 \sqrt{3}$ $-2sqrt3$ , and add them all up.

$(5 + \sqrt{3}) (4 - 2 \sqrt{3})$ $(5+sqrt3)(4-2sqrt3)$
$= 20 + 4 \sqrt{3} - 10 \sqrt{3} - 6$ $=20+4sqrt3-10sqrt3-6$
$= 14 - 6 \sqrt{3}$ $=14-6sqrt3$

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What is (5+square root of 3)(4-2square root of 3)?

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