Penjelasan dengan langkah-langkah:

\begin{gathered} \frac{ \sqrt{75} - \sqrt{27} }{2 \sqrt{18} } \\ = \frac{ \sqrt{25 \times 3} - \sqrt{9 \times 3} }{2 \sqrt{9 \times 2} } \\ = \frac{5 \sqrt{3} - 3 \sqrt{3} }{2 \times 3 \sqrt{2} } \\ = \frac{2 \sqrt{3} }{6 \sqrt{2} } \\ = \frac{ \sqrt{3} }{3 \sqrt{2} } \\ = \frac{ \sqrt{3} }{3 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ = \frac{ \sqrt{6} }{3 \times 2} \\ = \frac{ \sqrt{6} }{6} \\ = \frac{1}{6} \sqrt{6} \end{gathered}

2

18

75

−

27

=

2

9×2

25×3

−

9×3

=

2×3

2

5

3

−3

3

=

6

2

2

3

=

3

2

3

=

3

2

3

×

2

2

=

3×2

6

=

6

6

=

6

1

6