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Irrational Numbers

Show that 5-2...

Question

Show that $5 - 2 \sqrt{3}$ is an irrational number.

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Solution

Let us assume that is rational .Then, there exist positive co primes a and b such that

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Similar questions

Q. Show that 5 +

\sqrt{5}

is an irrational number.

Q. Prove that (

5 - 2 \sqrt{3}

) is an irrational number.

\sqrt{5}

is an irrational number. Hence show that

3 + 2 \sqrt{5}

is also an irrational number.

\sqrt{5}

is an irrational number.

5 - \sqrt{3}

is an irrational number.

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