Question

(√(2)÷√(6)−√(2))−(√(3)÷√(6)+√(2)​

Answer 1

ANSWER

Rationalize the elements individually,

2

3

−

6

6

×

2

3

+

6

2

3

+

6

+

3

+

2

6

×

3

−

2

3

−

2

−

6

−

2

4

3

×

6

+

2

6

+

2

Using (a+b)(a−b)=a

2

−b

2

(2

3

)

2

−(

6

)

2

6(2

3

+

6

)

+

(

3

)

2

−(

2

)

2

6

(

3

−

2

)

−

(

6

)

2

−(

2

)

2

4

3

(

6

+

2

)

=

12−6

12

3

+6

6

+

3−2

3

2

−2

3

−

6−2

12

2

+4

6

=2

3

+

6

+3

2

−2

3

−3

2

−4

6

=−3

6

Answer 2

Answer:

-0. 1298.

Step-by-step explanation:

√2=1.4142

√6=2.4495

√3=1.7321

(√2)÷√(6)-√(2))-(√3)÷√(6)+√(2).

=> -0.1298.

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