The simplified expression of \(\frac{4\sqrt{6}}{\sqrt{30}}\) is \(\frac{4\sqrt{5}}{5}\)
How to simplify the expression?
The expression is given as:
\(\frac{4\sqrt{6}}{\sqrt{30}}\)
Rationalize the expression
\(\frac{4\sqrt{6 * 30}}{\sqrt{30 * 30}}\)
Evaluate the products
\(\frac{4\sqrt{6 * 30}}{30}\)
Evaluate the exponent of the product of 6 and 30
\(\frac{4 * 6\sqrt{5}}{30}\)
This gives
\(\frac{24\sqrt{5}}{30}\)
Divide 24 and 30 by 6
\(\frac{4\sqrt{5}}{5}\)
Hence, the simplified expression of \(\frac{4\sqrt{6}}{\sqrt{30}}\) is \(\frac{4\sqrt{5}}{5}\)
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