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Write the division as a fraction.

April 17, 2026Mathematics

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Answer

\frac{\sqrt{30}}{2}

4 steps

Write the division as a fraction.
$\sqrt{15} \div \sqrt{2} = \frac{\sqrt{15}}{\sqrt{2}}$
Rationalize the denominator by multiplying the numerator and denominator by $\sqrt{2}$ .
$\frac{\sqrt{15}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$
Multiply the numerators and the denominators.
$\frac{\sqrt{15 \times 2}}{\sqrt{2 \times 2}} = \frac{\sqrt{30}}{\sqrt{4}}$
Simplify the denominator.
$\frac{\sqrt{30}}{2}$

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