Question

show that √5-√3 is irrational

Answer 1

Hi friend
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Your answer
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To prove : - √5 - √3 is irrational.

Now,
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√5 = 2.236079774.......

It is non terminating and non repeating decimal. So, √5 is an irrational number.

√3 = 1.7320508075.........

It is non terminating and non repeating decimal. So, √3 is an irrational number.

We know that,
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Difference of two irrational numbers is also an irrational number.

Therefore,
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√5 - √3 is irrational.

Proved.

HOPE IT HELPS

Answer 2

Here is ur answer....