How do you simplify $7 \sqrt[4]{4 a^{3} b} \cdot 3 \sqrt{2 a^{2} b}$ $7root4(4a^3 b) * 3 sqrt(2a^2 b)$ ?

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How do you simplify $7 \sqrt[4]{4 a^{3} b} \cdot 3 \sqrt{2 a^{2} b}$ $7root4(4a^3 b) * 3 sqrt(2a^2 b)$ ?

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Answer 1 · 2018-06-22T11:13:24

$42 a^{\frac{7}{4}} \cdot b^{\frac{3}{4}}$ $42a^(7/4)*b^(3/4)$

Explanation:

We get

$21 \cdot 4^{\frac{1}{4}} \cdot a^{\frac{3}{4}} \cdot b^{\frac{1}{4}} \cdot 2^{\frac{1}{2}} \cdot {(a^{2})}^{\frac{1}{2}} \cdot b^{\frac{1}{2}}$ $21*4^(1/4)*a^(3/4)*b^(1/4)*2^(1/2)*(a^2)^(1/2)*b^(1/2)$
this
$21 \cdot 2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} \cdot a^{\frac{3}{4}} \cdot a \cdot b^{\frac{1}{4}} \cdot b^{\frac{1}{2}}$ $21*2^(1/2)*2^(1/2)*a^(3/4)*a*b^(1/4)*b^(1/2)$
simplifying
$21 \cdot 2 \cdot a^{\frac{7}{4}} \cdot b^{\frac{3}{4}}$ $21*2*a^(7/4)*b^(3/4)$

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How do you simplify $7 \sqrt[4]{4 a^{3} b} \cdot 3 \sqrt{2 a^{2} b}$ $7root4(4a^3 b) * 3 sqrt(2a^2 b)$ ?

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Explanation:

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How do you simplify $7 \sqrt[4]{4 a^{3} b} \cdot 3 \sqrt{2 a^{2} b}$ $7root4(4a^3 b) * 3 sqrt(2a^2 b)$ ?