Question

To rationalize the denominator of 2sqrt10/3sqrt11

Answer 1

For this case we must rationalize the denominator of the following expression:

`\frac {2 \sqrt {10}} {3 \sqrt {11}} =`

To rationalize the denominator, that is, remove the root of the denominator, we must multiply by:

`\frac {\sqrt {11}} {\sqrt {11}}`

So, we have:

`\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}`

Answer:

Option B

Answer 2

√11/√11

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!