What is sqrt(24b^3)*sqrt(40b^2)*sqrt(b^2) ?

The solution to sqrt(24b^3)*sqrt(40b^2)*sqrt(b^2) is 8sqrt(15)b^3sqrt(b)

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simplify sqrt(24b^3)sqrt(40b^2)sqrt(b^2)

simplify

24 b^{3} \cdot 40 b^{2} \cdot b^{2}

815 b^{3} b

Solution steps

24 b^{3} 40 b^{2} b^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

b^{2} = b

= 24 b^{3} 40 b^{2} b

Simplify

24 b^{3} 40 b^{2} : 960 b^{5}

= 960 b^{5} b

Simplify

960 b^{5} : 960 b^{2} b

= 960 b^{2} b b

960 = 815

= 815 b^{2} b b

Simplify

b^{2} b : b^{3}

= 815 b^{3} b

\frac{1 + 4 p}{9} = - 3

\frac{2 3}{15}

x^{2} + 14 x + 32 = - 8

\frac{5}{9} - \frac{1}{3}

What is sqrt(24b^3)*sqrt(40b^2)*sqrt(b^2) ?
The solution to sqrt(24b^3)*sqrt(40b^2)*sqrt(b^2) is 8sqrt(15)b^3sqrt(b)