Question

simplify by rationalising the denominator 1/√27
​

Answer 1

Answer:

Explanation:

You can simplify the expression quite a lot before rationalizing:

√

9

=

√

3

2

=

3

√

27

=

√

9

⋅

3

=

√

9

⋅

√

3

=

3

√

3

So, the expression becomes

3

⋅

3

3

√

3

To rationalize this expression, multiply and divide by

√

3

:

3

√

3

=

3

√

3

⋅

√

3

√

3

=

3

√

3

√

3

√

3

=

3

√

3

3

=

√

3

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