Solve: Square Root of 4/2 Plus Square Root of 6/3

Simplifying fractions inside square roots makes the problem much easier! Instead of working with $\sqrt{\frac{4}{2}}$, you get $\sqrt{2}$, which is cleaner to work with.

Only if they have the same radicand! Since both $\sqrt{2} + \sqrt{2}$ have the same number under the square root, you can combine them: $\sqrt{2} + \sqrt{2} = 2\sqrt{2}$.

Then you'll get different square roots that cannot be combined. For example, $\sqrt{3} + \sqrt{5}$ stays as is because 3 and 5 are different.

Your answer $2\sqrt{2}$ is simplified because:

• The number under the square root (2) has no perfect square factors
• The coefficient (2) is already simplified

Yes! Calculate $2\sqrt{2} \approx 2.828$, and separately calculate $\sqrt{2} + \sqrt{2} \approx 1.414 + 1.414 = 2.828$. They should match!