Jika $a=24,b=3c,$ dan $c$ bilangan positif, maka $\frac{\sqrt{6ab}}{c}=\dots$

Jika

a = 24, b = 3 c,

dan

c

bilangan positif, maka

\frac{\sqrt{6 a b}}{c} = \dots

        Akar Kuadrat Suatu Bilangan 
        
         Muda, Berkarya, Intelektual

Jika $a = 24, b = 3 c,$ dan $c$ bilangan positif, maka $\frac{\sqrt{6 a b}}{c} = \dots$

a. $12$

b. $18$

c. $24$

d. $36$

Penyelesaian
Diketahui:

$a = 24 b$

$b = 3 c$

$c =$ bilangan positif

Ditanya:

$\frac{\sqrt{6 a b}}{c} = \dots$

Jawab:

ubah $a = 24 b$ menjadi $a = \dots c$

$a = 24 b \to a = 24 \times 3 c = 72 c$

selanjutnya

$\frac{\sqrt{6 a b}}{c} = \frac{\sqrt{6 (72 c) (3 c)}}{c}$

$\frac{\sqrt{6 a b}}{c} = \frac{\sqrt{6 \times 72 \times 3 \times c^{2}}}{c}$

$\frac{\sqrt{6 a b}}{c} = \frac{\sqrt{1296 \times c^{2}}}{c}$

$\frac{\sqrt{6 a b}}{c} = \frac{36 c}{c}$

$\frac{\sqrt{6 a b}}{c} = 36$

Kesimpulan:

Jadi, $\frac{\sqrt{6 a b}}{c} = 36$ . Jawaban yang tepat adalah d

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