What is sqrt(3x^2)sqrt(12x) ?

The solution to sqrt(3x^2)sqrt(12x) is 6xsqrt(x)

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simplify sqrt(3x^2)sqrt(12x)

simplify

3 x^{2} 12 x

6 x x

Solution steps

3 x^{2} 12 x

Simplify

3 x^{2} : 3 x

= 3 x 12 x

Simplify

12 x : 23 x

= 3 x \cdot 23 x

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 3 x \cdot 2 x

Multiply the numbers:

3 \cdot 2 = 6

= 6 x x

1^{2} + 8^{2}

\frac{33}{4} \div 4 \frac{1}{2}

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

(1 + 5 i) + (2 + 3 i)

\frac{1}{3} - \frac{2}{15}