What is sqrt(3\times \sqrt{12)} ?

The solution to sqrt(3\times \sqrt{12)} is \sqrt[4]{3^3}sqrt(2)

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simplify sqrt(3\times \sqrt{12)}

simplify

3 \cdot 12

Solution steps

312

Apply radical rule:

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

312 = 312

= 312

Factor integer

12 = 3 \cdot 4

Apply radical rule:

Apply exponent rule:

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

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

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

+ b^{2} - 6 b + 9

- x^{2} \times x^{2}

\frac{6 i}{9 - 8 i}

What is sqrt(3\times \sqrt{12)} ?
The solution to sqrt(3\times \sqrt{12)} is \sqrt[4]{3^3}sqrt(2)