Question

rationalise the denominator of 1 / root 3 + root 2 and hence evaluate by root 2 = 1.414 and root 3 = 1.732 , up to three places of decimals​

Answer 1

Step-by-step explanation:

3

+

2

1

=

3

+

2

1

×

3

−

2

3

−

2

=

(

3

)

2

−(

2

)

2

3

−

2

=

3−2

3

−

2

=

1

3

−

2

=

3

−

2

=1.732−1.414=0.318.

Or

Rationalise the denominator in each of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236 up to three places of decimal. Rationalise the denominator in each of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236 up to three places of decimal.

Answer 2

Here's your answer:↓

$\frac{1}{ (\sqrt{3 } + \sqrt{2}) } = \frac{ (\sqrt{3} - \sqrt{2} ) }{ ({ \sqrt{3} })^{2} - ( { \sqrt{2} })^{2} } = \sqrt{3} - \sqrt{2} \\ 1.732 - 1.414 = 0.318$

Hope It Helps :)

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