Simplify Radical Expressions

**Horizont** · October 9th 2008, 10:27 AM

Simplify the radical expression

-2x/3 . square root of 1/12x

Please help with step by step guide, thanks.

**earboth** · October 9th 2008, 11:23 AM

Originally Posted by Horizont

Simplify the radical expression

-2x/3 . square root of 1/12x

Please help with step by step guide, thanks.

I assume that you mean

$-\dfrac{2x}3 \cdot \sqrt{\dfrac1{12x}}=-\dfrac{2x}{3 \cdot \sqrt{4 \cdot 3x}} = -\dfrac{2x}{3 \cdot2 \cdot \sqrt{3x}}=-\dfrac{x}{3\sqrt{3} \cdot \sqrt{x}} = -\dfrac{\sqrt{x} \cdot \sqrt{x}}{3\sqrt{3} \cdot \sqrt{x}}$

$-\dfrac{\sqrt{x} \cdot \sqrt{3}}{3\sqrt{3} \cdot \sqrt{3}}=-\dfrac19 \sqrt{3x}$

**Horizont** · October 9th 2008, 11:49 AM

Thanks so much.

: )))

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