Simplify each radical expression. $$ \sqrt{\frac{5}{2}} \cdot \sqrt{\frac{125}{8}} $$
Added by Jimmy R.
Step 1
First, we can simplify the fraction under the first radical by finding a perfect square factor of the numerator and denominator: $$ \sqrt{\frac{5}{2}} = \sqrt{\frac{5 \cdot 2}{2 \cdot 2}} = \sqrt{\frac{10}{4}} = \frac{\sqrt{10}}{2} $$ Show more…
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