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Tentukan hasil operasi hitung berikut. d. 57​−328​+263​

Pertanyaan

Tentukan hasil operasi hitung berikut.

d. 5 square root of 7 minus 3 square root of 28 plus 2 square root of 63 

Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

Jawaban terverifikasi

Jawaban

diperoleh 5 square root of 7 minus 3 square root of 28 plus 2 square root of 63 equals 5 square root of 7.

Pembahasan

Gunakan konsep penjumlahan dan pengurangan akar dengan bilangan pokok berbeda serta penyederhanaan bentuk akar.

table attributes columnalign right center left columnspacing 2px end attributes row cell a square root of b plus c square root of b end cell equals cell open parentheses a plus c close parentheses square root of b end cell row cell a square root of b minus c square root of b end cell equals cell open parentheses a minus c close parentheses square root of b end cell row cell square root of a squared times b end root end cell equals cell a square root of b end cell end table

Perhatikan perhitungan berikut.

table attributes columnalign right center left columnspacing 2px end attributes row cell 5 square root of 7 minus 3 square root of 28 plus 2 square root of 63 end cell equals cell 5 square root of 7 minus 3 square root of 4 times 7 end root plus 2 square root of 9 times 7 end root end cell row blank equals cell 5 square root of 7 minus 3 times 2 square root of 7 plus 2 times 3 square root of 7 end cell row blank equals cell 5 square root of 7 minus 6 square root of 7 plus 6 square root of 7 end cell row blank equals cell open parentheses 5 minus 6 plus 6 close parentheses square root of 7 end cell row blank equals cell 5 square root of 7 end cell end table

Jadi, diperoleh 5 square root of 7 minus 3 square root of 28 plus 2 square root of 63 equals 5 square root of 7.

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