# Simply this expression [closed]

I'm sorry. I feel dumb for not remembering how to do this but I'm helping my girlfriend with some math stuff and I'm forgetting how to simplify this expression.

$$\sqrt 3 - 27$$

I think that you are suppose to multiply or divide it by something so we can get rid of the sqrt but I'm stumped on how to accomplish that. Thanks in advance.

## closed as unclear what you're asking by Qwerty, E. Joseph, астон вілла олоф мэллбэрг, zhoraster, John BNov 30 '16 at 10:28

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• There's nothing left to do to simplify the expression any further. – 5xum Nov 30 '16 at 7:08
• If you had something like $\dfrac{a}{\sqrt{3}-27}$, you might rationalize the denominator by multiplying top-and-bottom by the conjugate $\sqrt{3}+27$. However, the expression $\sqrt{3}-27$ alone is fine. – Corellian Nov 30 '16 at 7:12
• @Qwerty It's an honest question asked in good faith, with a specific problem and an attempt at solving it. Why should it not have an upvote? – Patrick Stevens Nov 30 '16 at 7:13
• @PatrickStevens When I hover my mose over the upvote sign , it says shows research effort , and is useful. Does this question really satisfy these two? – Qwerty Nov 30 '16 at 7:18
• Any chance that you've misspelled your girlfriend's question from $\sqrt{-27}$ into $\sqrt{3}-27$? – barak manos Nov 30 '16 at 7:42

$$27 = 3^3 \Rightarrow 27 = {\sqrt 3}^6,\\ \sqrt 3 - 27 = \sqrt 3 - {\sqrt 3}^6 = \sqrt 3 (1 - {\sqrt 3}^5) = \sqrt 3 (1 - 9\sqrt 3)$$