How do you simplify $7root4(4a^3 b) * 3 sqrt(2a^2 b)$ ?

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Answer 1 · 2018-06-22T11:13:24

$42a^(7/4)*b^(3/4)$

We get

$21*4^(1/4)*a^(3/4)*b^(1/4)*2^(1/2)*(a^2)^(1/2)*b^(1/2)$
this
$21*2^(1/2)*2^(1/2)*a^(3/4)*a*b^(1/4)*b^(1/2)$
simplifying
$21*2*a^(7/4)*b^(3/4)$

How do you simplify 7root4(4a^3 b) * 3 sqrt(2a^2 b)7root4(4a^3 b) * 3 sqrt(2a^2 b)?