Question

show that root 5 + root 3 is an irrational number , given that positive square root of 15 is an irrational number

Answer 1

Answer:

Here,

It is given that,  $\sqrt{15}$  is an irrational number,

⇒ $\sqrt{5\times 3}$ is an irrational number,

⇒ $\sqrt{5} \times \sqrt{3}$ is an irrational number,

⇒ $\sqrt{5}$ and  $\sqrt{3}$ are irrational numbers,

⇒ $\sqrt{5}+\sqrt{3}$  is an irrational number. ( Because, sum of two irrational number is also irrational number)

Hence, proved.

Answer 2

Answer:

√5+√3

Step-by-step explanation:

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