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

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

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Answer 1 · 2018-03-22T12:17:39

$15 b^{2} c d \sqrt{3 c}$ $15b^2cdsqrt(3c)$

Explanation:

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

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

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How do you simplify sqrt(135b^2c^3d) • sqrt(5b^2d)√135b2c3d∙√5b2dsqrt(135b^2c^3d) • sqrt(5b^2d)?

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