Question:
Solution:
Consider the following expression:
[tex]\sqrt{48x^{10}y^{13}}[/tex]Applying the properties of radicals, we get:
[tex]\sqrt{48}\sqrt{x^{10}}\text{ }\sqrt{y^{13}}[/tex]now, this is equivalent to:
[tex]4\sqrt{3}\sqrt{x^{10}}\text{ }\sqrt{y^{13}}[/tex]this is equivalent to:
[tex]4\sqrt{3}\text{ x}^5y^6\sqrt{y}[/tex]this is equivalent to:
[tex]4\text{x}^5y^6\sqrt{3}\text{ }\sqrt{y}[/tex]finally, applying the properties of radicals, we get:
[tex]4\text{x}^5y^6\sqrt{3y}\text{ }[/tex]Answer: we can conclude that the correct answer is:
[tex]a=4x^5y^6[/tex]and
[tex]b=3y[/tex]