The value of the expression [tex]\sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y[/tex] is [tex]2xy\sqrt{y} + 2xy^2\sqrt{x}[/tex]
How to evaluate the sum?
The attachment represents the proper format of the question
The summation expression is given as:
[tex]\sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y[/tex]
Expand the radicands
[tex]\sqrt{x^2y^2 * y} + 2\sqrt{x^2y^4* x} + xy\sqrt y[/tex]
Evaluate the square roots
[tex]xy\sqrt{y} + 2xy^2\sqrt{x} + xy\sqrt y[/tex]
Add the like terms
[tex]2xy\sqrt{y} + 2xy^2\sqrt{x}[/tex]
Hence, the value of the expression [tex]\sqrt{x^2y^3} + 2\sqrt{x^3y^4} + xy\sqrt y[/tex] is [tex]2xy\sqrt{y} + 2xy^2\sqrt{x}[/tex]
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