Sederhanakan dan tentukan nilai dari bentuk berikut. b. 220​+28​−3125​+563​−580​

Pertanyaan

Sederhanakan dan tentukan nilai dari bentuk berikut.

b. 2 square root of 20 plus square root of 28 minus 3 square root of 125 plus 5 square root of 63 minus 5 square root of 80 

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

 nilai dari 2 square root of 20 plus square root of 28 minus 3 square root of 125 plus 5 square root of 63 minus 5 square root of 80 adalah negative 31 square root of 5 plus 17 square root of 7.

Pembahasan

Ingat bahwa:

  • square root of a b end root equals square root of a square root of b
  • square root of a squared end root equals a
  • a square root of b plus-or-minus c square root of b equals open parentheses a plus-or-minus b close parentheses square root of b 

Mencari nilai dari 2 square root of 20 plus square root of 28 minus 3 square root of 125 plus 5 square root of 63 minus 5 square root of 80:

begin mathsize 12px style 2 square root of 20 plus square root of 28 minus 3 square root of 125 plus 5 square root of 63 minus 5 square root of 80 equals 2 square root of 2 squared times thin space 5 end root plus square root of 2 squared times thin space 7 end root minus 3 square root of 5 squared times thin space 5 end root plus 5 square root of 3 squared times thin space 7 end root minus 5 square root of 2 squared times thin space 2 squared times thin space 5 end root equals 2 square root of 2 squared end root square root of 5 plus square root of 2 squared end root square root of 7 minus 3 square root of 5 squared end root square root of 5 plus 5 square root of 3 squared end root square root of 7 minus 5 square root of 2 squared end root square root of 2 squared end root square root of 5 equals 2 times thin space 2 square root of 5 plus 2 square root of 7 minus 3 times thin space 5 square root of 5 plus 5 times thin space 3 square root of 7 minus 5 times 2 times thin space 2 square root of 5 equals 4 square root of 5 plus 2 square root of 7 minus 15 square root of 5 plus 15 square root of 7 minus 20 square root of 5 equals negative 31 square root of 5 plus 2 square root of 7 plus 15 square root of 7 equals negative 31 square root of 5 plus 17 square root of 7 end style  

Jadi, nilai dari 2 square root of 20 plus square root of 28 minus 3 square root of 125 plus 5 square root of 63 minus 5 square root of 80 adalah negative 31 square root of 5 plus 17 square root of 7.

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Sederhanakan bentuk berikut. b. 8​−20​+50​−80​

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