Question

prove that 5^1/2 + 5^1/2 is irrational​

Answer 1

Answer:

5^1/2 + 5^1/2

= √5 + √5 = 2√5

5 is not a square of any rational number .

Thus, √5 is irrational.

Thus, 2√5 is irrational.

Thus, 5^1/2 + 5^1/2 is irrational. (Hence, proved)

Answer 2

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