How do you simplify $sqrt(135b^2c^3d) • sqrt(5b^2d)$ ?

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Answer 1 · 2018-03-22T12:17:39

$15b^2cdsqrt(3c)$

$sqrt(135b^2c^3d) * sqrt(5b^2d)=sqrt(5*5c^2d^2b^4*27c)$
$=5*b^2cd*sqrt(27c)=5*b^2cd*sqrt(3*3*3c)=15b^2cdsqrt(3c)$

How do you simplify sqrt(135b^2c^3d) • sqrt(5b^2d)sqrt(135b^2c^3d) • sqrt(5b^2d)?