After the simplification the given expression \(\frac{3\sqrt{20} }{\sqrt{5} }\) becomes 6.
What is the simplification of an expression?
Simplifying expressions is a way to write an expression in its lowest form by combining all like terms together.
According to the given question.
We have an expression
\(\frac{3\sqrt{20} }{\sqrt{5} }\)
The simplified form of the above expression is given by
\(\frac{3\sqrt{20} }{\sqrt{5} } \\= \frac{3\sqrt{4(5)} }{\sqrt{5} }\) (because \(\sqrt{4} =\sqrt{2(2)} =2\))
\(=\frac{3(2)\sqrt{5} } {\sqrt{5} }\)
\(= 6\)
Hence, \(\frac{3\sqrt{20} }{\sqrt{5} } =6\)
Thus, option D is correct.
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