1.

Show that (√3+√5)² is an irrational​

Answer»

\textit{\large{\pink{\underline{\underline{Step by step Explanation:-}}}}}

\mathrm{(\sqrt{3}+\sqrt{5})^2}

\mathrm{=3+2\sqrt{15}+5}

\mathrm{=3+2\sqrt{15}+5}

\mathrm{=8+2\sqrt{15}}

Because,,\mathrm{[\sqrt{15}]} is an irrational number.So,,\mathrm{[(8+2\sqrt{15})]} is also an irrational number..HENCE\mathrm{[(\sqrt{3}+\sqrt{5})^2]} is an IRRATIONAL number..

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