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Algebra Difficulty 1.7 Junior Find the answer

The value of 33+33+33\sqrt{3^{3}+3^{3}+3^{3}} is what?

A number or a short expression. Spacing and $ signs are ignored.

Solution

Since 33=3×3×3=3×9=273^{3}=3 \times 3 \times 3=3 \times 9=27, then 33+33+33=27+27+27=81=9\sqrt{3^{3}+3^{3}+3^{3}}=\sqrt{27+27+27}=\sqrt{81}=9.

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