Question

~ quiz ~

[tex] \sf \: bentuk \: rasional \: dari \: \boxed{ \frac{4}{2 - \sqrt{3} } }[/tex]
gunakan cara​

Answer 1

[tex] \to \tt \frac{4}{2 - \sqrt{3} } [/tex]

[tex] \to \tt \frac{4}{2 - \sqrt{3} } \times \frac{2 + \sqrt{3}}{2 + \sqrt{3} } [/tex]

[tex] \to \tt \frac{8 + 4\sqrt{3}}{4 - 3} [/tex]

[tex] \to \tt \frac{8+4\sqrt{3}}{1} [/tex]

[tex] \to \boxed{ \boxed{ \mathfrak{ \purple{8+4\sqrt{3}}}}}[/tex]

[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: \mathcal{JK} \: \: \: {\green{\star}}}}}}}}} [/tex]

Answer 2

Verified answer

Penjelasan dengan langkah-langkah:

[tex] \frac{4}{2 - \sqrt{3} } [/tex]

[tex] = \frac{(4(2 - \sqrt{3))} \times (2 + \sqrt{3)} }{(2 + \sqrt{3)} } [/tex]

[tex] = \frac{(4(2 + \sqrt{3))} }{( {2}^{2} - \sqrt{ {3}^{2} } )} [/tex]

[tex] = \frac{(8 + 4 \sqrt{3)} }{(4 - 3)} [/tex]

[tex] \sf \: = 8 + 4 \sqrt{3} [/tex]

[tex] \bf \: ♡mahefal♡[/tex]