What is sqrt(12*4\sqrt{3)} ?

The solution to sqrt(12*4\sqrt{3)} is 4\sqrt[4]{3^3}

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simplify sqrt(12*4\sqrt{3)}

simplify

12 \cdot 43

Decimal Notation

9.11802 \dots

Solution steps

12 \cdot 43

Multiply the numbers:

12 \cdot 4 = 48

= 483

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

483 = 483

= 483

48 = 43

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply radical rule:

= 4 \cdot 3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}}

Apply exponent rule:

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

3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}} = 3^{\frac{1}{2} + \frac{1}{4}}

= 4 \cdot 3^{\frac{1}{2} + \frac{1}{4}}

\frac{1}{2} + \frac{1}{4} = \frac{3}{4}

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

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

5 e

(2 x^{2} + 7) - (- 2 x^{2} - 2 x - 7)

\frac{x - 3}{5 x} + \frac{1}{x + 2}

\frac{e ^{- 0.01} - 1}{- 0.01}

(2 a + 3 b - 4 c)^{2}

What is sqrt(12*4\sqrt{3)} ?
The solution to sqrt(12*4\sqrt{3)} is 4\sqrt[4]{3^3}