Math, asked by dineshvarma735, 4 months ago

simplify (square root 3 - square root 2)

Answers

Answered by Nivedita4209
2

Answer:

(

3

+

2

)

2

=5+2

6

Step-by-step explanation:

Given : Expression (\sqrt{3} +\sqrt{2})^2(

3

+

2

)

2

To find : Simplify the expression ?

Solution :

Using algebraic identity,

(a+b)^2=a^2+b^2+2ab(a+b)

2

=a

2

+b

2

+2ab

Here, a=\sqrt{3},\ b=\sqrt{2}a=

3

, b=

2

(\sqrt{3} +\sqrt{2})^2=(\sqrt{3})^2+(\sqrt{2})^2+2(\sqrt{3})(\sqrt{2})(

3

+

2

)

2

=(

3

)

2

+(

2

)

2

+2(

3

)(

2

)

(\sqrt{3} +\sqrt{2})^2=3+2+2\sqrt{6}(

3

+

2

)

2

=3+2+2

6

(\sqrt{3} +\sqrt{2})^2=5+2\sqrt{6}(

3

+

2

)

2

=5+2

6

Therefore, (\sqrt{3} +\sqrt{2})^2=5+2\sqrt{6}(

3

+

2

)

2

=5+2

6

Answered by sparsh1923
1

0.317837...................

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