Pertanyaan

2 + 1 3 = ...

$\frac{3}{2 + 1} = ...$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Rasionalkan bentuk . Jadi, jawaban yang tepat adalah A.

Rasionalkan bentuk $fraction numerator size 14px 3 over denominator square root of size 14px 2 size 14px plus size 14px 1 end fraction$ .

$begin mathsize 14px style left right double arrow fraction numerator 3 over denominator square root of 2 plus 1 end fraction equals fraction numerator 3 over denominator square root of 2 plus 1 end fraction cross times fraction numerator square root of 2 minus 1 over denominator square root of 2 minus 1 end fraction equals fraction numerator 3 space left parenthesis square root of 2 minus 1 right parenthesis over denominator left parenthesis square root of 2 plus 1 right parenthesis left parenthesis square root of 2 minus 1 right parenthesis end fraction equals fraction numerator 3 square root of 2 minus 3 over denominator 2 minus 1 end fraction equals fraction numerator 3 square root of 2 minus 3 over denominator 1 end fraction equals 3 square root of 2 minus 3 equals 3 open parentheses square root of 2 minus 1 close parentheses end style$

Jadi, jawaban yang tepat adalah A.