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

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

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

simplify

2 x^{3} y 12 x y

26 x^{2} y

Solution steps

2 x^{3} y 12 x y

Simplify

2 x^{3} y : 2 x x y

= 2 x x y 12 x y

Simplify

12 x y : 23 x y

= 2 x x y \cdot 23 x y

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= 2 xx y \cdot 23 y

Apply radical rule:

a a = a,

assuming

a \geq 0

y y = y

= 2 xx y \cdot 23

23 = 6

= 6 xx y \cdot 2

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 6 x^{2} y \cdot 2

= 26 x^{2} y

9 (3 s + 2)

\frac{5}{4} + 3

- \frac{2}{5} + \frac{1}{40}

3 x - 2 y (4 - x)

(3 a + m)^{2}

What is sqrt(2x^3y)sqrt(12xy) ?
The solution to sqrt(2x^3y)sqrt(12xy) is 2sqrt(6)x^2y