How do you simplify $5 \frac{\sqrt{3}}{\sqrt{12}}$ $5sqrt3/sqrt12$ ?

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Answer 1 · 2015-11-01T04:22:28

$\frac{5}{2}$ $5/2$

$[1] \frac{5 \sqrt{3}}{\sqrt{12}}$ $[1]" "(5sqrt3)/sqrt12$

Rationalize the denominator by multiplying to $\frac{\sqrt{12}}{\sqrt{12}}$ $sqrt12/sqrt12$ .

$[2] = \frac{5 \sqrt{3}}{\sqrt{12}} \cdot \frac{\sqrt{12}}{\sqrt{12}}$ $[2]" "=(5sqrt3)/sqrt12*sqrt12/sqrt12$

$[3] = \frac{5 \sqrt{36}}{12}$ $[3]" "=(5sqrt36)/12$

Get the principal square root of $36$ $36$ .

$[4] = \frac{5 (6)}{12}$ $[4]" "=(5(6))/12$

$[5] = \frac{30}{12}$ $[5]" "=30/12$

Put in simplest terms.

$[6] = \frac{5}{2}$ $[6]" "=color(blue)(5/2)$

How do you simplify 5√3√125sqrt3/sqrt12?