Question

Kuis ⁽¹⁴²⁾ :
Bentuk sederhana dari 6/(4+2√3) adalah :

[a.] 4-2√3 ⠀⠀⠀[b.] 6-3√√3 ⠀⠀⠀[c.] 6+3√3
[d.] 24-24√3 ⠀[e.] 24+24√3

Answer 1

Verified answer

6/4 + 2√3

= 6/2(2 + √3)

= 6/2/(2 + √3)

= 3/2 + √3

= 3/2 + √3 × 2 - √3/2 - √3

= 3(2 - √3)/(2 + √3(2 - √3)

= 3(2 - √3)/(2(2) - (√3(√3)

= 3(2 - √3)/4 - 3

= 3(2 - √3)

= 3(2) - 3(√3)

= 6 - 3√3 (B)

Answer 2

Jawaban:

B.

Penjelasan dengan langkah-langkah:

[tex] \frac{6}{4 + 2 \sqrt{3} } \\ = \frac{\cancel2 \times 3}{\cancel2 \times (2 + \sqrt{3} )} \\ = \frac{3}{2 + \sqrt{3} } \\ = \frac{3}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ = \frac{6 - 3 \sqrt{3} }{4 - 3} \\ = 6 - 3 \sqrt{3} [/tex]