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(sqrt3)/(sqrt2)

2323) 32 \frac{\sqrt{3}}{\sqrt{2}}

Full solution

Q. 2323) 32 \frac{\sqrt{3}}{\sqrt{2}}
  1. Apply product rule: Step 11: Apply the product rule for square roots.\newlineCalculation: 32=32\frac{\sqrt{3}}{\sqrt{2}} = \sqrt{\frac{3}{2}}
  2. Rationalize denominator: Step 22: Rationalize the denominator.\newlineCalculation: 32×(22)=62\sqrt{\frac{3}{2}} \times \left(\frac{\sqrt{2}}{\sqrt{2}}\right) = \frac{\sqrt{6}}{2}