Question

Rationalize the denominator
√3-√2÷√3+√2

Answer 1

Answer:

hey mate!!!

Step-by-step explanation:

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

Answer 2

$5 - 2 \sqrt{6} \: \: is \: the \: answer.$