Show that 3-3 is not a rational number-

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Standard IX

Mathematics

Rational Numbers

Show that 3√3...

Question

Show that $3 \sqrt{3}$ is not a rational number.

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Solution

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Similar questions

Q. Show that

\sqrt[3]{6}

is not a rational number.

Q. Show that

\sqrt{2}

is not a rational number

Q. Prove that

\sqrt{5} - \sqrt{3}

is not a rational number.

Q. Show that:

(3 + \sqrt{5}) (3 - \sqrt{5})

is a rational number.

Question 3
The numerical expression $\frac{3}{8} + \frac{(- 5)}{7} = \frac{- 19}{56}$ shows that:
(a) rational numbers are closed under addition.
(b) rational numbers are not closed under addition.
(c) rational numbers are closed under multiplication.
(d) addition of rational numbers is not commutative.

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Show that 3√3 is not a rational number.

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Show that $3 \sqrt{3}$ is not a rational number.