Question

Simplify (5- √3)(2+ √3)2.

Answer 1

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

Answer 2

question is

$(5 - \sqrt{3} )(2 + \sqrt{3} )2$

first of all we multiple 2 with

$2 + \sqrt{3}$

now

$(5 - \sqrt{3} )(4 + 2 \sqrt{3} )$

multiplying 5 and -root 3 to both 4 and 2root3 one by one

$20 + 10 \sqrt{3} - 4 \sqrt{3} - 6$

simplifying this we have

$14 + 6 \sqrt{3}$

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