How do you simplify $\frac{3 \sqrt{20}}{2 \sqrt{4}}$ $(3sqrt20)/(2sqrt4)$ ?

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How do you simplify $\frac{3 \sqrt{20}}{2 \sqrt{4}}$ $(3sqrt20)/(2sqrt4)$ ?

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Answer 1 · 2017-02-16T06:13:31

$\frac{3 \sqrt{5}}{2}$ $(3sqrt(5))/2$

Explanation:

to simplify $\frac{3 \sqrt{20}}{2 \sqrt{4}}$ $(3sqrt(20))/(2sqrt(4))$ you need to rationalize the denominator which means you need to get rid of that square root in the denominator

fortunately $\sqrt{4} = 2$ $sqrt(4) = 2$ so simplifying this expression is easy

$\frac{3 \sqrt{20}}{2 \sqrt{4}} = \frac{3 \sqrt{20}}{2 \cdot 2} = \frac{3 \sqrt{20}}{4}$ $(3sqrt(20))/(2sqrt(4)) = (3sqrt(20))/(2*2) = (3sqrt(20))/4$

and $\sqrt{20} = 2 \sqrt{5}$ $sqrt(20) = 2sqrt(5)$

$\frac{3 \sqrt{20}}{4} = \frac{3 \cdot 2 \sqrt{5}}{4} = \frac{6 \sqrt{5}}{4} = \frac{3 \sqrt{5}}{2}$ $(3sqrt(20))/4 = (3*2sqrt(5))/4 = (6sqrt(5))/4 = (3sqrt(5))/2$

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How do you simplify $\frac{3 \sqrt{20}}{2 \sqrt{4}}$ $(3sqrt20)/(2sqrt4)$ ?

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How do you simplify 3√202√4(3sqrt20)/(2sqrt4)?

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Explanation:

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How do you simplify $\frac{3 \sqrt{20}}{2 \sqrt{4}}$ $(3sqrt20)/(2sqrt4)$ ?