Math, asked by sunilduttanthwal094, 6 hours ago

simplify 3√2÷√6-√3 - 4√3 ÷ √6 - √2​

Answers

Answered by Anonymous
0

Answer:

Given expression is  

3

+  

6

 

3  

2

 

−  

6

+  

2

 

4  

3

 

+  

2

+  

3

 

6

 

 

On rationalizing each term and using the property (a−b)(a+b)=a  

2

−b  

2

 for each denominator, we get:

(  

3

)  

2

−(  

6

)  

2

 

3  

2

(  

3

−  

6

)

−  

(  

6

)  

2

−(  

2

)  

2

 

4  

3

(  

6

−  

2

)

+  

(  

2

)  

2

−(  

3

)  

2

 

6

(  

2

−  

3

)

 

=  

−3

3  

6

−3  

12

 

−  

4

4  

18

−  

6

 

+  

−1

12

−  

18

 

 

=  

12

12  

12

−12  

6

−12  

18

+3  

6

−12  

12

+12  

18

 

 

=  

12

−9  

6

 

 

=  

4

−3  

6

 

 

Hence,  

3

+  

6

 

3  

2

 

−  

6

+  

2

 

4  

3

 

+  

2

+  

3

 

6

 

=  

4

−3  

6

 

Step-by-step explanation:

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