Question

if root 3 is an irrational number then prove that 5+2root 3 is an irrational number​

Answer 1

Answer:

Yes, 5+2√3 is irrational.

Explanation:

√3 is irrational number.

When we multiply a irrational number to a rational number we get an irrational number.

Thus, 2×√3 or 2√3 is an irrational number.

Now, when we add a rational number to a irrational number the answer we get is an irrational number.

Therefore, 5+2√3 is an irrational number.

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