Question

Question 6 simplified expression by subtracting the radicals blank radical 50 - 2 radical 8 equals

Answer 1

To simplify the expression \( \sqrt{50} - 2\sqrt{8} \), we start by simplifying each radical term.

1. Simplify \( \sqrt{50} \):
\[
\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \cdot \sqrt{2} = 5\sqrt{2}
\]

2. Simplify \( 2\sqrt{8} \):
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}
\]
Therefore,
\[
2\sqrt{8} = 2 \cdot 2\sqrt{2} = 4\sqrt{2}
\]

Now, substitute these simplified forms back into the original expression:
\[
\sqrt{50} - 2\sqrt{8} = 5\sqrt{2} - 4\sqrt{2}
\]

Now combine like terms:
\[
5\sqrt{2} - 4\sqrt{2} = (5 - 4)\sqrt{2} = 1\sqrt{2} = \sqrt{2}
\]

Thus, the simplified expression is:
\[
\sqrt{2}
\]