2 root 45 + 3 root 20 the whole divided by 2 root 3 is a rational number on simplification say true or false explain
Answers
Answered by
0
Answer:
I think it was true
Answered by
0
Answer:
2
45
+3
20
=6=Rationalnumber
Step-by-step explanation:
\frac{2\sqrt{45}+3\sqrt{20}}{2\sqrt{5}}
2
5
2
45
+3
20
=\frac{2\sqrt{3\times 3\times 5}+3\sqrt{2\times 2\times 5}}{2\sqrt{5}}=
2
5
2
3×3×5
+3
2×2×5
=\frac{2\times 3\sqrt{5}+3\times 2\sqrt{5}}{2\sqrt{5}}=
2
5
2×3
5
+3×2
5
\begin{gathered}=\frac{2\sqrt{5}(3+3)}{2\sqrt{5}}\\=6\\=Rational\: number\end{gathered}
=
2
5
2
5
(3+3)
=6
=Rationalnumber
Therefore,
\begin{gathered}\frac{2\sqrt{45}+3\sqrt{20}}{2\sqrt{5}}=6\\=Rational\: number\end{gathered}
2
5
2
45
+3
20
=6
=Rationalnumber
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