What is sqrt(3\sqrt{3\sqrt{3)}} ?

The solution to sqrt(3\sqrt{3\sqrt{3)}} is sqrt(3)sqrt(3^{3/4)}

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simplify sqrt(3\sqrt{3\sqrt{3)}}

simplify

333

3 3^{\frac{3}{4}}

Decimal Notation

2.61505 \dots

Solution steps

333

33 = 3^{\frac{3}{4}}

= 3 \cdot 3^{\frac{3}{4}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 3 3^{\frac{3}{4}}

\frac{5 ^{- 1}}{5 ^{- 2}}

2 a - 1 + 8 b - 12 b + 7 a - 12

x^{3} - 3 x^{2} - 13 x + 39

- lo g_{10} (0.3)

\frac{4}{9} \div \frac{7}{12}

What is sqrt(3\sqrt{3\sqrt{3)}} ?
The solution to sqrt(3\sqrt{3\sqrt{3)}} is sqrt(3)sqrt(3^{3/4)}