Rationalise the denominator of - 5-7-2

The correct option is B √(7) √(2) Multiplying and dividing by √( 7 ) √( 2 ) : 5(√( 7 ) √( 2 ) )(7 2)=√( 7 ) √( 2 ) ...

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Standard IX

Mathematics

Rationalisation

Rationalise t...

Question

Rationalise the denominator of :
$\frac{5}{\sqrt{7} + \sqrt{2}}$

\sqrt{7} + \sqrt{2}

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\sqrt{7} - \sqrt{2}

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\sqrt{7} \sqrt{2}

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None of these

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Solution

The correct option is B $\sqrt{7} - \sqrt{2}$
$M u l t i p l y i n g a n d d i v i d i n g b y \sqrt{7} - \sqrt{2} : \frac{5 (\sqrt{7} - \sqrt{2})}{(7 - 2)} = \sqrt{7} - \sqrt{2}$

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Similar questions

Q. Rationalise the denominators of the following:

\frac{1}{\sqrt{7}}

\frac{1}{\sqrt{7} - \sqrt{6}}

\frac{1}{\sqrt{5} + \sqrt{2}}

\frac{1}{\sqrt{7} - 2}

Q. Question 12
The number obtained on rationalising the denominator of

\frac{1}{\sqrt{7} - 2}

is

A)

\frac{\sqrt{7} + 2}{3}

\frac{\sqrt{7} - 2}{3}

\frac{\sqrt{7} + 2}{5}

\frac{\sqrt{7} + 2}{45}

Question 12
The number obtained on rationalising the denominator of $\frac{1}{\sqrt{7} - 2}$ is

A) $\frac{\sqrt{7} + 2}{3}$
B) $\frac{\sqrt{7} - 2}{3}$
C) $\frac{\sqrt{7} + 2}{5}$
D) $\frac{\sqrt{7} + 2}{45}$

Q. Rationalise the denominator: 1÷√7+√3-√2

Q. Rationalise the denomination

\frac{1}{7 + 3 \sqrt{2}}

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Rationalise the denominator of : 5√7+√2

The correct option is B √7−√2Multiplyinganddividingby√7−√2:5(√7−√2)(7−2)=√7−√2

Rationalise the denominator of :
$\frac{5}{\sqrt{7} + \sqrt{2}}$

The correct option is B $\sqrt{7} - \sqrt{2}$
$M u l t i p l y i n g a n d d i v i d i n g b y \sqrt{7} - \sqrt{2} : \frac{5 (\sqrt{7} - \sqrt{2})}{(7 - 2)} = \sqrt{7} - \sqrt{2}$