Pertanyaan

Bentuk sederhana 3 + 2 ( 5 + 3 ) ( 5 − 3 ) adalah ....

Bentuk sederhana $\frac{( 5 + 3 ) ( 5 - 3 )}{3 + 2}$ adalah ....

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style fraction numerator open parentheses square root of 5 plus square root of 3 close parentheses open parentheses square root of 5 minus square root of 3 close parentheses over denominator square root of 3 plus 2 end fraction equals fraction numerator 5 minus square root of 15 plus square root of 15 minus 3 over denominator square root of 3 plus 2 end fraction equals fraction numerator 2 over denominator open parentheses square root of 3 plus 2 close parentheses end fraction. fraction numerator open parentheses square root of 3 minus 2 close parentheses over denominator open parentheses square root of 3 minus 2 close parentheses end fraction equals fraction numerator 2 open parentheses square root of 3 minus 2 close parentheses over denominator 3 minus 4 end fraction equals negative 2 open parentheses square root of 3 minus 2 close parentheses equals 4 minus 2 square root of 3 end style$