5√24 + 6√40 - 2√150 - 2√90
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Penjelasan dengan langkah-langkah:
[tex]5 \sqrt{24} + 6 \sqrt{40} - 2 \sqrt{150} - 2 \sqrt{90} \\ = 5 \sqrt{4} \times \sqrt{6} + 6 \sqrt{4} \times \sqrt{10} - 2 \sqrt{25} \times \sqrt{6} - 2 \sqrt{9} \times \sqrt{10} \\ = 5(2) \sqrt{6} + 6(2) \sqrt{10} - 2(5) \sqrt{6} - 2(3) \sqrt{10} \\ = 10 \sqrt{6} + 12 \sqrt{10} - 10 \sqrt{6} - 6 \sqrt{10} \\ = 10 \sqrt{6} - 10 \sqrt{6} + 12 \sqrt{10} - 6 \sqrt{10} \\ = 6 \sqrt{10} [/tex]
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