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Simplify the following expression:
\sqrt{\frac{9x^2}{y^3}}
Solution
Step-by-Step Simplification:
\sqrt{\frac{9x^2}{y^3}} = \frac{\sqrt{9x^2}}{\sqrt{y^3}}
\sqrt{9x^2} = \sqrt{9} \cdot \sqrt{x^2} = 3x
\sqrt{y^3} = \sqrt{y^2 \cdot y} = \sqrt{y^2} \cdot \sqrt{y} = y\sqrt{y}
\frac{3x}{y\sqrt{y}}
Final Simplified Expression:
\frac{3x}{y\sqrt{y}} is the simplified form of \sqrt{\frac{9x^2}{y^3}}
One comment
Good job bro