Simplify √(〖49x〗^2 y^2-〖64x〗^2 y^2 )+∛(27x^3 y^3 )

asked by guest
on Nov 17, 2024 at 2:23 am



You asked:

Simplify the expression: \(\sqrt{{\left( 49 x \right)}^{2} \cdot {y}^{2} - {\left( 64 x \right)}^{2} \cdot {y}^{2}} + \sqrt[3]{27 \cdot {x}^{3} \cdot {y}^{3}}\)

MathBot Answer:

Simplified:

\[ \sqrt{{\left( 49 x \right)}^{2} \cdot {y}^{2} - {\left( 64 x \right)}^{2} \cdot {y}^{2}} + \sqrt[3]{27 \cdot {x}^{3} \cdot {y}^{3}} = 3 \sqrt[3]{x^{3} y^{3}} + \sqrt{1695} \sqrt{- x^{2} y^{2}} \]

Expanded:

\[ \sqrt{{\left( 49 x \right)}^{2} \cdot {y}^{2} - {\left( 64 x \right)}^{2} \cdot {y}^{2}} + \sqrt[3]{27 \cdot {x}^{3} \cdot {y}^{3}} = 3 \sqrt[3]{x^{3} y^{3}} + \sqrt{1695} \sqrt{- x^{2} y^{2}} \]


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