how to solve 1/root 2 multiplied by root 3/2

asked by guest
on Jan 26, 2025 at 12:51 am



You asked:

Evaluate the expression: 122322\frac{1}{\sqrt[2]{2}} \sqrt[2]{\frac{3}{2}}

MathBot Answer:

122322=32≈0.86602540378443864676372317075294\frac{1}{\sqrt[2]{2}} \sqrt[2]{\frac{3}{2}} = \frac{\sqrt{3}}{2} \approx 0.86602540378443864676372317075294

122322=12⋅32=12⋅2⋅32=12⋅2⋅12⋅6=12⋅3\begin{aligned}\frac{1}{\sqrt[2]{2}} \sqrt[2]{\frac{3}{2}}&=\frac{1}{\sqrt{2}} \cdot \sqrt{\frac{3}{2}}\\&=\frac{1}{2} \cdot \sqrt{2} \cdot \sqrt{\frac{3}{2}}\\&=\frac{1}{2} \cdot \sqrt{2} \cdot \frac{1}{2} \cdot \sqrt{6}\\&=\frac{1}{2} \cdot \sqrt{3}\end{aligned}

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