To rationalize the denominator of [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex] you should multiply the expression by [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]
Given the surd function:
- [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex]
- Rationalizing surd functions means multiplying the numerator and denominator of such function by the conjugate of the denominator.
For the surd function given, to rationalize it, we only need to multiply the numerator and denominator by √11 as shown:
[tex]=\frac{2\sqrt{10} }{3\sqrt{11} }\times \frac{\sqrt{11} }{\sqrt{11} } \\=\frac{2\sqrt{110}}{3(11)}\\= \frac{2\sqrt{110}}{33}\\[/tex]
Hence we can conclude that to rationalize the denominator of [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex] you should multiply the expression by [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]
Learn more about surd functions here: https://brainly.com/question/24380382
