tolong bantu kakk pake cara.... Question from @ClaraAyyana

Bagian A

$\boxed{\begin{aligned}\sf \frac{1}{2 \sqrt{3} } &=\sf \frac{1}{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \sf &=\sf \frac{ \sqrt{3} }{2 \: (3)} \\ \sf &= \sf \frac{ \sqrt{3} }{6} \end{aligned}}$

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Bagian B

$\boxed{\begin{aligned}\sf \frac{6}{5 - 2 \sqrt{3} } &=\sf \frac{6}{5 - 2 \sqrt{3} } \times \frac{5 + 2 \sqrt{3} }{5 + 2 \sqrt{3} } \\ \sf &=\sf \frac{6 \: (5 + 2 \sqrt{3} )}{(5 - 2 \sqrt{3})(5 + 2 \sqrt{3}) } \\ \sf &= \sf \frac{30 + 12 \sqrt{3} }{25 - 4(3)} \\ \sf &=\sf \frac{30 + 12 \sqrt{3} }{25 - 12} \\ \sf &=\sf \frac{30 + 12 \sqrt{3} }{13}\end{aligned}}$

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Bagian C

$\small \boxed{\begin{aligned}\sf \frac{2 \sqrt{3} + \sqrt{6} }{2 \sqrt{3} - \sqrt{6} } &=\sf \frac{2 \sqrt{3} + \sqrt{6} }{2 \sqrt{3} - \sqrt{6} } \times \frac{2 \sqrt{3} + \sqrt{6} }{2 \sqrt{3} + \sqrt{6} } \\ \sf &=\sf \frac{(2 \sqrt{3} + \sqrt{6} )(2 \sqrt{3} + \sqrt{6} )}{(2 \sqrt{3} - \sqrt{6})(2 \sqrt{3} + \sqrt{6} )} \\ \sf &= \sf \frac{ {(2 \sqrt{3} + \sqrt{6} )}^{2} }{4(3) - 6} \\ \sf &=\sf \frac{ {(2 \sqrt{3}) }^{2} + 2(2 \sqrt{3} \sqrt{6} ) + {( \sqrt{6} )}^{2} }{12 - 6} \\ \sf &=\sf \frac{4(3) + 4 \sqrt{18} + 6}{6} \\ \sf &=\sf \frac{12 + 4 \sqrt{9} \sqrt{2} + 6}{6}\\ \sf &=\sf \frac{18 + 12 \sqrt{2} }{6} \\ \sf &=\sf \frac{6 \: (3 + 2 \sqrt{2} )}{6} \\ \sf &=\sf 3 + 2 \sqrt{2} \end{aligned}}$

20 votes Thanks 19

ClaraAyyana kak

ClaraAyyana bantu Jawa soal ku yang satunya

DETECTlVE iya?

DETECTlVE Sebentar ya kak

ClaraAyyana okey

BNP999

Penjelasan dengan langkah-langkah:

a). 1/(2√3) = 1/(2√3) x (2√3)/(2√3) = (2√3)/(2²√3²)= (2√3)/(12)= 1/6√3

b). 6/(5-2√3)= 6/(5-2√3) x (5+2√3)/(5+2√3)= 6(5+2√3)/(5² - (2√3)² = 6(5+2√3)/(25-12)= 6(5+2√3)/(13)= (30+12√3)/13

c). (2√3 + √6)/(2√3 - √6)= (2√3+√6)/(2√3-√6) x (2√3 +√6)/(2√3+√6)= 2√3(2√3 + √6)+√6(2√3+√6)/(2√3)² - (√6)² = (4√9 + 2√18 + 2√18 + √36 = (4(3)+4√18+6)/(12-6)= (12+6+4√(9x2))/(6) = (18+4(3)√2))/6= (18+12√2)/6 = (18/6 + 12/6√2) = (3 + 2√2)

0 votes Thanks 1

Tolong di bantu ya pliss... pake caranya

suatu sistem perdagangan timbal balik yg terjadi antar negara yg saling membutuhkan di sebut... atau....

cara meninggikan badan gimana ya?? padahal aq sudah makan, minum susu dan berolahraga secara teratur tapi kok ga tinggi tinggi.... Pliss aq butuh tips nihh

Yang tau susu peninggi badan apa ya pliss?

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