Question

simplify (root3-root2)square​

Answer 1

(root3-root2)^2

= 5-2 root over 6

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 :

Applying algebraic identity,

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

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

Substitute the value,

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

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

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

#Learn more

Simplify (2+root3) (2-root3)​

https://brainly.in/question/11638822