What is sqrt(3)sqrt(3)sqrt(3) ?

The solution to sqrt(3)sqrt(3)sqrt(3) is 3sqrt(3)

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simplify sqrt(3)sqrt(3)sqrt(3)

simplify

333

33

Decimal Notation

5.19615 \dots

Solution steps

333

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

333 = 3^{\frac{1}{2}} \cdot 3^{\frac{1}{2}} \cdot 3^{\frac{1}{2}} = 3^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

= 3^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

Combine the fractions

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} : \frac{3}{2}

= 3^{\frac{3}{2}}

3^{\frac{3}{2}} = 3^{1 + \frac{1}{2}}

= 3^{1 + \frac{1}{2}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 3^{1} \cdot 3^{\frac{1}{2}}

Refine

= 33

0.1 2^{- 1}

10.8 \cdot 1 0^{- 3}

\frac{1}{4} e^{- l n (x) y} d x

r \frac{2}{3} π r^{3}

(25 x^{2}) (14 y^{2})

What is sqrt(3)sqrt(3)sqrt(3) ?
The solution to sqrt(3)sqrt(3)sqrt(3) is 3sqrt(3)