Question

Simplify ( root 3 + root 2 ) the whole square

Answer 1

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

hope you got your answer

Answer 2

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

Step-by-step explanation:

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

To find : Simplify the expression ?

Solution :

Using algebraic identity,

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

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

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

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

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

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

#Learn more

Simplify root 2 + root 3 + root 2 minus root 3

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