simplify by rationalising the denominator 1/√27
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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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