Matematika ...sederhanakan......[tex] \sf \frac{10}{2 \sqrt{5} + 6 } = ...[/tex]​

ricardoklingulv – March 09, 2023

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sederhanakan...
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[tex] \sf \frac{10}{2 \sqrt{5} + 6 } = ...[/tex]
​

[tex] \sf \frac{10}{2 \sqrt{5} + 6 } [/tex]

[tex] \sf = \frac{10}{2 \sqrt{5} + 6 } \times \frac{2 \sqrt{5} - 6}{2 \sqrt{5} - 6} [/tex]

[tex] \sf = \frac{10(2 \sqrt{5} - 6) }{4 \sqrt{25} - 36 } [/tex]

[tex] \sf = \frac{10(2 \sqrt{5} - 6) }{4(5) - 36 } [/tex]

[tex] \sf = \frac{10(2 \sqrt{5} - 6) }{20- 36 } [/tex]

[tex] \sf = \frac{10(2 \sqrt{5} - 6) }{ - 16 } [/tex]

[tex] \sf = \frac{5(2 \sqrt{5} - 6) }{ - 8} [/tex]

[tex] \sf = \frac{10 \sqrt{5} - 30 }{ - 8} [/tex]

[tex] \sf = \frac{5\sqrt{5} - 6 }{ - 4} [/tex]

[tex] \sf = \frac{5\sqrt{5} - 15 }{ - 4} [/tex]

[tex] \sf = - \frac{5\sqrt{5} - 15 }{ 4} [/tex]

Jawaban:

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bismillah.....

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