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Irrational Numbers and Properties of Irrational Numbers

The rationali...

Question

The rationalisation factor of $\sqrt{3}$ is

(a) $- \sqrt{3}$

(b) $\frac{1}{\sqrt{3}}$

(c) $2 \sqrt{3}$

(d) $- 2 \sqrt{3}$

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Solution

We know that rationalization factor for is. Hence rationalization factor of is.Hence the correct option is.

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Similar questions

Q. The rationalisation factor of

2 + \sqrt{3}

2 - \sqrt{3}

2 + \sqrt{3}

\sqrt{2} - 3

\sqrt{3} - 2

Q. The simplest rationalising factor of

2 \sqrt{5}

\sqrt{3}

2 \sqrt{5} + 3

2 \sqrt{5} + \sqrt{3}

\sqrt{5} + \sqrt{3}

\sqrt{5} - \sqrt{3}

Q. The rationalisation factor of

\frac{1}{2 \sqrt{3} - \sqrt{5}}

\sqrt{5} - 2 \sqrt{3}

\sqrt{3} + 2 \sqrt{5}

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

\sqrt{12} + \sqrt{5}

Q. If the sum of the roots of the equation

k x^{2} + 2 x + 3 x = 0

is equal to their product, then the value of k is
(a)

\frac{1}{3}

\frac{- 1}{3}

\frac{2}{3}

\frac{- 2}{3}

Q. The simplest rationalisation ractor of

(2 \sqrt{2} - \sqrt{3})

2 \sqrt{2} + 3

2 \sqrt{2} + \sqrt{3}

\sqrt{2} + \sqrt{3}

\sqrt{2} - \sqrt{3}

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