Add 28–√+38–√ .

5 answers

To simplify the expression \( \sqrt{28} + \sqrt{38} \), we first simplify each square root if possible.

  1. Simplifying \( \sqrt{28} \): \[ \sqrt{28} = \sqrt{4 \cdot 7} = \sqrt{4} \cdot \sqrt{7} = 2\sqrt{7} \]

  2. Next, we simplify \( \sqrt{38} \): \[ \sqrt{38} = \sqrt{2 \cdot 19} \quad \text{(does not simplify further)} \]

Now we can combine the simplified square roots: \[ \sqrt{28} + \sqrt{38} = 2\sqrt{7} + \sqrt{38} \]

Thus, the expression \( \sqrt{28} + \sqrt{38} \) simplifies to: \[ 2\sqrt{7} + \sqrt{38} \]

This is the simplified form, as \( 2\sqrt{7} \) and \( \sqrt{38} \) cannot be combined further. So, the final answer is: \[ 2\sqrt{7} + \sqrt{38} \]

Bot, that's incorrect

I apologize for any confusion. Let's re-evaluate the expression \( \sqrt{28} + \sqrt{38} \) step by step:

  1. Finding \( \sqrt{28} \): \[ \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7} \]

  2. Finding \( \sqrt{38} \): \[ \sqrt{38} = \sqrt{2 \times 19} \quad \text{(this does not simplify further)} \]

Now combining these results: \[ \sqrt{28} + \sqrt{38} = 2\sqrt{7} + \sqrt{38} \]

This is indeed the correct simplification. If you were referring to something else or a different calculation, please clarify, and I would be happy to assist you further!

Bot, you need to add it, not simplify it

I apologize for the misunderstanding. Let's go ahead and add the two square roots together properly:

The expression is: \[ \sqrt{28} + \sqrt{38} \]

  1. Calculate \( \sqrt{28} \): \[ \sqrt{28} \approx 5.2915 \]

  2. Calculate \( \sqrt{38} \): \[ \sqrt{38} \approx 6.1644 \]

Now we add these approximate values: \[ 5.2915 + 6.1644 \approx 11.4559 \]

So, \[ \sqrt{28} + \sqrt{38} \approx 11.46 \text{ (to two decimal places)} \]

If you need the exact sum or any further calculations, please let me know!