What is sqrt(12x^2y)*sqrt(3xy^4) ?

The solution to sqrt(12x^2y)*sqrt(3xy^4) is 6xy^2sqrt(y)sqrt(x)

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simplify sqrt(12x^2y)*sqrt(3xy^4)

simplify

12 x^{2} y \cdot 3 x y^{4}

6 x y^{2} y x

Solution steps

12 x^{2} y 3 x y^{4}

Simplify

12 x^{2} y : 23 x y

= 23 x y 3 x y^{4}

Simplify

3 x y^{4} : 3 x y^{2}

= 23 x y 3 x y^{2}

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 2 \cdot 3 x y x y^{2}

Multiply the numbers:

2 \cdot 3 = 6

= 6 x y x y^{2}

= 6 x y^{2} y x

2 x^{2} - 15 x - 8 = 0

- 3 x^{4} < 3 and 4 x + 6 < - 3

∣ 12 - 4 x ∣ \geq 0

(x - 8)^{2} = 64

15 (x - 1) = - 5 (3 - x) + 10 x

What is sqrt(12x^2y)*sqrt(3xy^4) ?
The solution to sqrt(12x^2y)*sqrt(3xy^4) is 6xy^2sqrt(y)sqrt(x)