Simplify \(\frac{20}{5\sqrt{28} – 2 \sqrt{63}}\)
-
\(\frac{5\sqrt{7}}{7}\)
- \(\frac{5\sqrt{5}}{7}\)
- \(\frac{7\sqrt{5}}{7}\)
- \(\frac{7\sqrt{7}}{5}\)
The correct answer is: A
Explanation
\(\frac{20}{5 \sqrt{4 \times 7} - 2\sqrt{9 \times 7}}\)\(\frac{20}{10 \sqrt{7} - 6\sqrt{7}}\)
= \(\frac{20 \sqrt{7}}{4 \sqrt{7}}\)
= \(\frac{5\sqrt{7}}{7}\)