What is sqrt(4x^3y)*sqrt(6xy^3) ?

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

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simplify sqrt(4x^3y)*sqrt(6xy^3)

simplify

4 x^{3} y \cdot 6 x y^{3}

26 x^{2} y^{2}

Solution steps

4 x^{3} y 6 x y^{3}

Simplify

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

= 2 x x y 6 x y^{3}

Simplify

6 x y^{3} : 6 x y y

= 2 x x y 6 x y y

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= 2 xx y 6 y y

Apply radical rule:

a a = a,

assuming

a \geq 0

y y = y

= 2 xx y 6 y

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 2 x^{2} y 6 y

Apply exponent rule:

aa = a^{2}

yy = y^{2}

= 2 x^{2} y^{2} 6

= 26 x^{2} y^{2}

x^{3} - 3 x^{2} - 7 x + 21

4 (2 m - 6) - 3 p - 2 m + 8

b^{9}

2 \frac{4}{5} \div 4

\frac{1}{2} \times 20

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