2/sqrt{2}+sqrt{2}-এর সমাধান করুন

$$\frac{ 2 }{ \sqrt{ 2 } } + \sqrt{ 2 }$$

Evaluate

$$2\sqrt{2}\approx 2.828427125$$

Solution Steps

Rationalize the denominator of \frac{2}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}+\sqrt{2}$$

The square of \sqrt{2} is 2.

$$\frac{2\sqrt{2}}{2}+\sqrt{2}$$

Cancel out 2 and 2.

$$\sqrt{2}+\sqrt{2}$$

Combine \sqrt{2} and \sqrt{2} to get 2\sqrt{2}.

$$2\sqrt{2}$$