How do you subtract √18 from √50?

To subtract √18 from √50, calculate the values of each square root and then subtract the smaller from the larger.

First, let's break down the square roots into simpler forms. The square root of 18 can be simplified as follows:
\[ \sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2} \]

Similarly, the square root of 50 can be simplified:
\[ \sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2} \]

Now, we have:
\[ \sqrt{50} = 5\sqrt{2} \]
\[ \sqrt{18} = 3\sqrt{2} \]

To subtract these, we simply subtract the coefficients of \(\sqrt{2}\):
\[ 5\sqrt{2} - 3\sqrt{2} = (5 - 3)\sqrt{2} = 2\sqrt{2} \]

So, the result of subtracting \(\sqrt{18}\) from \(\sqrt{50}\) is \(2\sqrt{2}\).

If you prefer to use decimal approximations, you can calculate the square roots directly:
\[ \sqrt{50} \approx 7.071 \]
\[ \sqrt{18} \approx 4.243 \]

Then subtract:
\[ 7.071 - 4.243 = 2.828 \]

Both methods give you the same result, but simplifying the square roots first often makes the calculation easier and more exact.

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