To rationalize the denominator of 2sqrt10/3sqrt11

Answer:
√11/√11
Step-by-step explanation:
in order to rationalize the denominator we must multiply it with the a radical that simplifies the radical in denominator
in given case radical in denominator is√11, in order to simplify it we need to multiply numerator and denominator by √11.
2√10/3√11 x √11/√11
=2√110/3(11)
=2√110/33!
For this case we must rationalize the denominator of the following expression:
[tex]\frac {2 \sqrt {10}} {3 \sqrt {11}} =[/tex]
To rationalize the denominator, that is, remove the root of the denominator, we must multiply by:
[tex]\frac {\sqrt {11}} {\sqrt {11}}[/tex]
So, we have:
[tex]\frac {2 \sqrt {10}} {3 \sqrt {11}} * \frac {\sqrt {11}} {\sqrt {11}} =\\\frac {2 \sqrt {10} * \sqrt {11}} {3 (\sqrt {11}) ^ 2} =\\\frac {2 \sqrt {110}} {3 * 11} =\\\frac {2 \sqrt {110}} {33}[/tex]
Answer:
Option B