What is sqrt(24b^3)sqrt(42b^2)sqrt(b^2) ?

The solution to sqrt(24b^3)sqrt(42b^2)sqrt(b^2) is 12sqrt(7)b^3sqrt(b)

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simplify sqrt(24b^3)sqrt(42b^2)sqrt(b^2)

simplify

24 b^{3} 42 b^{2} b^{2}

127 b^{3} b

Solution steps

24 b^{3} 42 b^{2} b^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

b^{2} = b

= 24 b^{3} 42 b^{2} b

Simplify

24 b^{3} 42 b^{2} : 1008 b^{5}

= 1008 b^{5} b

Simplify

1008 b^{5} : 1008 b^{2} b

= 1008 b^{2} b b

1008 = 127

= 127 b^{2} b b

Simplify

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

= 127 b^{3} b

3 x^{2} - \frac{24}{x}

e^{x} \times (- e^{- x})

ln (5 - 4)

14 z^{2} + 33 z - 5

\frac{4 6}{3}

What is sqrt(24b^3)sqrt(42b^2)sqrt(b^2) ?
The solution to sqrt(24b^3)sqrt(42b^2)sqrt(b^2) is 12sqrt(7)b^3sqrt(b)