How do you simplify $\sqrt{98 x^{3}} 3$ $sqrt(98x^3)3$ ?

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How do you simplify $\sqrt{98 x^{3}} 3$ $sqrt(98x^3)3$ ?

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Answer 1 · 2015-10-23T01:34:56

$21 x \sqrt{2 x}$ $21xsqrt(2x)$

Explanation:

First lets re-arrange the equation:
$\sqrt{98 x^{3}} \cdot 3$ $sqrt(98x^3)*3$ $\Rightarrow$ $rArr$ $3 \cdot \sqrt{98 x^{3}}$ $3*sqrt(98x^3)$
Now lets see what we can extract from inside the radical sign
$3 \cdot \sqrt{2 \cdot 7 \cdot 7 \cdot x \cdot x \cdot x}$ $3*sqrt(2*7*7*x*x*x)$

Now because this is a square root , we can pull out the $\sqrt{7 \cdot 7}$ $sqrt(7*7)$ and $\sqrt{x \cdot x}$ $sqrt(x*x)$ and we are left with $\sqrt{2 \cdot x}$ $sqrt(2*x)$ in the radical.

Rewrite:
$3 \cdot \sqrt{7 \cdot 7} \cdot \sqrt{x \cdot x} \cdot \sqrt{2 x}$ $3*sqrt(7*7)*sqrt(x*x) * sqrt(2x)$ $\Rightarrow$ $rArr$ $(3 \cdot 7 \cdot x) \cdot \sqrt{2 x}$ $(3*7*x)*sqrt(2x)$

Answer:
$21 x \cdot \sqrt{2 x}$ $21x*sqrt(2x)$

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How do you simplify $\sqrt{98 x^{3}} 3$ $sqrt(98x^3)3$ ?

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