[tex] \begin{aligned} \sf \frac{5\sqrt{10} - \sqrt{40}}{\sqrt{3} \times \sqrt{6}} &= \sf \frac{5\sqrt{10} - \sqrt{4 \times 10}}{ \sqrt{3 \times 6}} \\ &= \sf \frac{5\sqrt{10} - 2\sqrt{10}}{\sqrt{18}} \\ &= \sf \frac{3\cancel{\sqrt{10}}}{\cancel{\sqrt{18}}} \\ &= \sf \frac{3\sqrt{5}}{\sqrt{9}} \\ &= \sf \frac{\cancel3\sqrt{5}}{\cancel3} \\ &= \sf \sqrt{5} \end{aligned}[/tex]
⟨Opsi: B⟩
⌗SDaze ⋆࿐໋₊
Jawaban:
B. √5
Penjelasan dengan langkah-langkah:
5√10 – √40
= 5√10 – √4 x 10
= 5 √10 – 2 √10
= 3 √10
√3 x √6 = √18
= √9 x 2
= 3√2
=> 5√10 – √40 3 √10
_____________ = _______
√3 x √6 3√2
= 1 √5 => √5
SEMOGA BERMANFAAT
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[tex] \begin{aligned} \sf \frac{5\sqrt{10} - \sqrt{40}}{\sqrt{3} \times \sqrt{6}} &= \sf \frac{5\sqrt{10} - \sqrt{4 \times 10}}{ \sqrt{3 \times 6}} \\ &= \sf \frac{5\sqrt{10} - 2\sqrt{10}}{\sqrt{18}} \\ &= \sf \frac{3\cancel{\sqrt{10}}}{\cancel{\sqrt{18}}} \\ &= \sf \frac{3\sqrt{5}}{\sqrt{9}} \\ &= \sf \frac{\cancel3\sqrt{5}}{\cancel3} \\ &= \sf \sqrt{5} \end{aligned}[/tex]
⟨Opsi: B⟩
⌗SDaze ⋆࿐໋₊
Jawaban:
B. √5
Penjelasan dengan langkah-langkah:
5√10 – √40
= 5√10 – √4 x 10
= 5 √10 – 2 √10
= 3 √10
√3 x √6 = √18
= √9 x 2
= 3√2
=> 5√10 – √40 3 √10
_____________ = _______
√3 x √6 3√2
= 1 √5 => √5
SEMOGA BERMANFAAT