Question

simplify- √2/√5+2-2/√10-2√2+8√2

Answer 1

heya,

ur answer is in the above pic

hope it will help u!

Answer 2

Given expression $\frac{\sqrt{2}}{\sqrt{5}+2}-\frac{2}{\sqrt{10}-2\sqrt{2}}+8\sqrt{2}$

We need to find a simplified solution of the expression

Now,

$\frac{\sqrt{2}}{\sqrt{5}+2}-\frac{2}{\sqrt{10}-2\sqrt{2}}+8\sqrt{2}\\=\frac{\sqrt{2}}{\sqrt{5}+2}-\frac{\sqrt{2}}{\sqrt{5}-2}+8\sqrt{2}\\=\frac{\sqrt{2} \times (\sqrt{5}-2)-\sqrt{2} \times (\sqrt{5}+2)}{(\sqrt{5}+2)(\sqrt{5}-2)}+8\sqrt{2}\\=\frac{\sqrt{10}-2\sqrt{2}- \sqrt{10}-2\sqrt{2}}{5-4}+8\sqrt{2}\\=\frac{-2\sqrt{2}-2\sqrt{2}}{1}+8\sqrt{2}\\=-2\sqrt{2}-2\sqrt{2}+8\sqrt{2}\\=4\sqrt{2}$

Therefore, the required value is $4\sqrt{2}$ .

To learn more about root from the given link

https://brainly.in/question/4156608

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