What is sqrt(2x)sqrt(3x^2)sqrt(6x^3) ?

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

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simplify sqrt(2x)sqrt(3x^2)sqrt(6x^3)

simplify

2 x 3 x^{2} 6 x^{3}

6 x^{3}

Solution steps

2 x 3 x^{2} 6 x^{3}

Simplify

2 x : 2 x

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

Simplify

3 x^{2} : 3 x

= 2 x 3 x 6 x^{3}

Simplify

6 x^{3} : 6 x x

= 2 x 3 x 6 x x

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= 2 x 3 x 6 x

236 = 36

= 36 xxx

36 = 6

= 6 xxx

Apply exponent rule:

aaa = a^{3}

xxx = x^{3}

= 6 x^{3}

(9 a + 15) - (9 a - 12)

4 x y - 8 x y^{2} - 12 x y^{3}

\frac{( 8 x ^{3} + 13 x ^{2} + 36 x + 84 )}{( x + 2 )}

5 + 16

1^{100}

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