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Natural Numbers

The simplest ...

Question

The simplest rationalising factor of $2 \sqrt{5}$ − $\sqrt{3}$ is

(a) $2 \sqrt{5} + 3$

(b) $2 \sqrt{5} + \sqrt{3}$

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

(d) $\sqrt{5} - \sqrt{3}$

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Solution

We know that rationalization factor for is. Hence rationalization factor of is.

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Q. The simplest rationalisation ractor of

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

2 \sqrt{2} + 3

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\sqrt{2} - \sqrt{3}

Q. The rationalisation factor of

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\sqrt{2} - 3

\sqrt{3} - 2

Q. The simplest rationalising factor of

\sqrt{3} + \sqrt{5}

\sqrt{3} - 5

3 - \sqrt{5}

\sqrt{3} - \sqrt{5}

\sqrt{3} + \sqrt{5}

Q. Solve the following -:

\sqrt{4 \frac{1}{6} \times 3 \frac{1}{3} \times 5} =

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

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

\sqrt{12} + \sqrt{5}

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