How do you simplify 9+3√6√3?

1 Answer
Shwetank Mauria
Feb 18, 2016

3√3+3√2

Explanation:

To simplify 9+3√6√3, we have to first rationalize denominator. Here as denominator is pure irrational number √3, we multiply numerator and denominator both by √3.

The fraction than becomes

(9+3√6√3)⋅√3√3 or

9√3+3√6⋅√3√3⋅√3, which simplifies to

9√3+3√183 or 9√3+3⋅3√23 or

3√3+3√2

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