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Rewrite the division as a fraction.

April 17, 2026Mathematics

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Answer

2\sqrt{3}

5 steps

Rewrite the division as a fraction.
$4\sqrt{15} \div 2\sqrt{5} = \frac{4\sqrt{15}}{2\sqrt{5}}$
Simplify the numerical coefficients and the surds separately.
$\frac{4}{2} \times \frac{\sqrt{15}}{\sqrt{5}}$
Perform the division for the coefficients.
$2 \times \frac{\sqrt{15}}{\sqrt{5}}$
Use the property $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ to simplify the surds.
$2 \times \sqrt{\frac{15}{5}}$
Perform the division inside the square root.
$2 \times \sqrt{3}$
The simplified expression is:
$2\sqrt{3}$

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