56.8k views
0 votes
To rationalize the denominator of 2sqrt10/3sqrt11

To rationalize the denominator of 2sqrt10/3sqrt11-example-1
User Tara Singh
by
6.7k points

2 Answers

3 votes

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

User Sebenalern
by
6.6k points
0 votes

Answer:

√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!

User Soon Santos
by
6.2k points