Pertanyaan

Jika 1 3 + 2 3 + 3 3 + 4 3 = p 2 , maka nilai 3 p − 2 = . . . .

Jika $1^{3} + 2^{3} + 3^{3} + 4^{3} = p^{2}$ , maka nilai $3 p - 2$ = . . . .

A. Rahmawati

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B

Pembahasan

Jadi, jawaban yang tepat adalah B

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 1 cubed plus 2 cubed plus 3 cubed plus 4 cubed end cell equals cell p squared end cell row cell 1 plus 8 plus 27 plus 64 end cell equals cell p squared end cell row 100 equals cell p squared end cell row p equals 10 end table end style

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cube root of p minus 2 end root end cell equals cell cube root of 10 minus 2 end root end cell row blank equals cell cube root of 8 end cell row blank equals cell 8 to the power of 1 third end exponent end cell row blank equals cell open parentheses 2 cubed close parentheses to the power of 1 third end exponent end cell row blank equals cell open parentheses 2 to the power of up diagonal strike 3 end exponent close parentheses to the power of fraction numerator 1 over denominator up diagonal strike 3 end fraction end exponent end cell row blank equals 2 end table end style$

Jadi, jawaban yang tepat adalah B