How do you simplify $x \cdot \sqrt{18} - 3 \cdot \sqrt{8 x^{2}}$ $x sqrt 18 - 3 sqrt(8x^2)$ ?

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How do you simplify $x \cdot \sqrt{18} - 3 \cdot \sqrt{8 x^{2}}$ $x sqrt 18 - 3 sqrt(8x^2)$ ?

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Answer 1 · 2015-09-18T22:34:20

$x \sqrt{18} - 3 \sqrt{8 x^{2}} = - 3 x \sqrt{2}$ $xsqrt(18) - 3sqrt(8x^2) = -3xsqrt(2)$

Explanation:

$x \sqrt{18} - 3 \sqrt{8 x^{2}} =$ $xsqrt(18) - 3sqrt(8x^2) =$
$x \sqrt{9 \cdot 2} - 3 \sqrt{4 \cdot 2 \cdot x^{2}} =$ $xsqrt(9*2) - 3sqrt(4*2*x^2)=$
$3 x \sqrt{2} - 6 x \sqrt{2} =$ $3xsqrt(2)-6xsqrt(2)=$
$- 3 x \sqrt{2}$ $-3xsqrt(2)$

(That is, if and only if, $x \geq 0$ $x >=0$ , if not $3 x \sqrt{2} - 6 | x | \sqrt{2}$ $3xsqrt(2)-6|x|sqrt(2)$ , because everything that comes out of a root must be positive or a zero.)

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How do you simplify $x \cdot \sqrt{18} - 3 \cdot \sqrt{8 x^{2}}$ $x sqrt 18 - 3 sqrt(8x^2)$ ?

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How do you simplify x *sqrt 18 - 3 * sqrt(8x^2)x⋅√18−3⋅√8x2x *sqrt 18 - 3 * sqrt(8x^2)?

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How do you simplify $x \cdot \sqrt{18} - 3 \cdot \sqrt{8 x^{2}}$ $x sqrt 18 - 3 sqrt(8x^2)$ ?