is (1+root5)-(4+root5) rational or irrational
Answers
Answer:
The given number is equal to - 3, thus rational.
Answer:
(1 5–4 5 + + ) ( )Classify the following numbers as rational or irrational with justificationClassify the following numbers as rational or irrational with justificationThere are infinitely many integers between any two integers.9211We have to write -√0.4 in fractional form.
\begin{gathered}\displaystyle \Longrightarrow\ -\sqrt{0.4} \\ \\ \\ \Longrightarrow\ -\sqrt{\frac{4}{10}} \\ \\ \\ \Longrightarrow\ -\frac{2}{\sqrt{10}}\end{gathered}⟹ −0.4⟹ −104⟹ −102
As √10 is irrational, then so will be -2/√10, because a rational number divided by an irrational number gives irrational.
Thus we can say that -√0.4 is irrational
We have to write -√0.4 in fractional form.
\begin{gathered}\displaystyle \Longrightarrow\ -\sqrt{0.4} \\ \\ \\ \Longrightarrow\ -\sqrt{\frac{4}{10}} \\ \\ \\ \Longrightarrow\ -\frac{2}{\sqrt{10}}\end{gathered}⟹ −0.4⟹ −104⟹ −102
As √10 is irrational, then so will be -2/√10, because a rational number divided by an irrational number gives irrational.
Thus we can say that -√0.4 is irrational
We have to write -√0.4 in fractional form.
\begin{gathered}\displaystyle \Longrightarrow\ -\sqrt{0.4} \\ \\ \\ \Longrightarrow\ -\sqrt{\frac{4}{10}} \\ \\ \\ \Longrightarrow\ -\frac{2}{\sqrt{10}}\end{gathered}⟹ −0.4⟹ −104⟹ −102
As √10 is irrational, then so will be -2/√10, because a rational number divided by an irrational number gives irrational.
Thus we can say that -√0.4 is irrational