Question

simplify. $sqrt{\frac{15}{10}}$
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simplify radical expressions with variables (h1)

Explanation:

Step1: Simplify the fraction inside

$\sqrt{\frac{15}{10}} = \sqrt{\frac{3}{2}}$

Step2: Rationalize the denominator

$\sqrt{\frac{3}{2}} = \sqrt{\frac{3 \times 2}{2 \times 2}} = \frac{\sqrt{6}}{\sqrt{4}}$

Step3: Simplify the square root

$\frac{\sqrt{6}}{\sqrt{4}} = \frac{\sqrt{6}}{2}$

Answer:

$\frac{\sqrt{6}}{2}$