Math, asked by aasthamehta747, 6 months ago

V3+v2
Rationalize the denominator of
√3-√2​

Answers

Answered by asaddada
1

Answer:

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Step-by-step explanation:

ANSWER

We rationalise the denominator of (

3

2

3

+

2

) by multiplying its rationalising factor (

3

+

2

) in the numerator and denominator as follows:

3

2

3

+

2

×

3

+

2

3

+

2

=

(

3

2

)(

3

+

2

)

(

3

+

2

)(

3

+

2

)

=

(

3

)

2

−(

2

)

2

(

3

+

2

)

2

=

3−2

(

3

)

2

+(

2

)

2

+(2×

3

×

2

)

=

1

3+2+2

6

=5+2

6

Hence,

3

2

3

+

2

=5+2

6

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