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Sederhanakan 5​−33​5​+23​​.

Pertanyaan

Sederhanakan fraction numerator square root of 5 plus 2 square root of 3 over denominator square root of 5 minus 3 square root of 3 end fraction.

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

bentuk sederhana dari fraction numerator square root of 5 plus 2 square root of 3 over denominator square root of 5 minus 3 square root of 3 end fraction adalah fraction numerator negative 23 plus 5 square root of 15 over denominator 22 end fraction.

Pembahasan

Untuk menyederhanakan bentuk akar tersebut, maka pembilang dikalikan dengan bentuk sekawannya, sehingga diperoleh 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of 5 plus 2 square root of 3 over denominator square root of 5 minus 3 square root of 3 end fraction end cell equals cell fraction numerator square root of 5 plus 2 square root of 3 over denominator square root of 5 minus 3 square root of 3 end fraction cross times fraction numerator square root of 5 plus 3 square root of 3 over denominator square root of 5 plus 3 square root of 3 end fraction end cell row blank equals cell fraction numerator 5 plus 3 square root of 15 plus 2 square root of 15 plus 18 over denominator 5 minus 27 end fraction end cell row blank equals cell fraction numerator negative 23 plus 5 square root of 15 over denominator 22 end fraction end cell end table

Jadi, bentuk sederhana dari fraction numerator square root of 5 plus 2 square root of 3 over denominator square root of 5 minus 3 square root of 3 end fraction adalah fraction numerator negative 23 plus 5 square root of 15 over denominator 22 end fraction.

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