How do you simplify $\sqrt{6 x} \div \sqrt{24}$ $sqrt(6x) divsqrt24$ ?

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Answer 1 · 2015-09-22T16:00:45

Simplification is done by $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ $sqrt(a)/sqrt(b)=sqrt(a/b)$ and division.

We know that

$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ $sqrt(a)/sqrt(b)=sqrt(a/b)$

Let $a = 6 x$ $a=6x$ and $b = 24$ $b=24$

$\Rightarrow \frac{\sqrt{6 x}}{\sqrt{24}} = \sqrt{\frac{6 x}{24}}$ $=>sqrt(6x)/sqrt(24)=sqrt((6x)/24)$

$\Rightarrow \frac{\sqrt{6 x}}{\sqrt{24}} = \sqrt{\frac{x}{4}}$ $=>sqrt(6x)/sqrt(24)=sqrt((x)/4)$

$\Rightarrow \frac{\sqrt{6 x}}{\sqrt{24}} = {(\frac{x}{4})}^{\frac{1}{2}}$ $=>sqrt(6x)/sqrt(24)=((x)/4)^(1/2)$

How do you simplify sqrt(6x) divsqrt24√6x÷√24sqrt(6x) divsqrt24?