Question

given that √2 is irratinal prove the (5+3√2) is an irratinal number

Answer 1

Hi friend
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Your answer
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Given that : - √2 is irrational.

To prove : - (5 + 3√2) is irrational.

Now,
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We know that,

Product of a rational and an irrational number is always irrational.

Then,

3 × √2 = 3√2 is irrational.

Again,
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We know that,

Sum of a rational and an irrational number is always irrational.

Therefore,
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5 + 3√2 is irrational.

HOPE IT HELPS