hasil dari 1) (√5 + √2 )² 2) 3√12 × 2√75
Matematika
Anonyme
Pertanyaan
hasil dari
1) (√5 + √2 )²
2) 3√12 × 2√75
1) (√5 + √2 )²
2) 3√12 × 2√75
2 Jawaban
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1. Jawaban haical16
[tex]( \sqrt{5} + \sqrt{2} ) {}^{2} \\ = ( \sqrt{5} + \sqrt{2} ) \times ( \sqrt{5} + \sqrt{2} ) \\ = \sqrt{25} + \sqrt{10} + \sqrt{10} + \sqrt{4} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} [/tex]
[tex]3 \sqrt{12 } \times 2 \sqrt{75} \\ =( 3 \sqrt{4 \times 3}) \times (2 \sqrt{25 \times 3} ) \\ = (3 \times 2 \sqrt{3} ) \times (2 \times 5 \sqrt{3} ) \\ = 6 \sqrt{3} \times 10 \sqrt{3} \\ = 60 \sqrt{9} \\ = 60 \times 3 \\ = 180[/tex]
semoga membantu.... -
2. Jawaban indahkim1
[tex]1.( \sqrt{5} + { \sqrt{2} )}^{2} \\ = (\sqrt{5} + \sqrt{2} )( \sqrt{5} + \sqrt{2} ) \\ = 5 + \sqrt{10} + \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} \\ \\ 2. \: \: 3 \sqrt{12} \times 2 \sqrt{75} \\ = 3 \sqrt{4 \times 3} \times2 \sqrt{25 \times 3} \\ = 3.2 \sqrt{3} \times 2.5 \sqrt{3} \\ = 6 \sqrt{3} \times 10 \sqrt{3} \\ = (6 \times 10)( \sqrt{3} \times \sqrt{3} ) \\ = 60 \times 3 \\ = 180[/tex]