How do you simplify $\frac{15}{\sqrt{6}}$ $15/sqrt6$ ?

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Answer 1 · 2015-05-28T04:03:11

Answer: $\frac{15}{\sqrt{6}}$ $15/sqrt6$ simplified is $\frac{5 \sqrt{6}}{2}$ $(5sqrt 6)/2$

Problem: Simplify $\frac{15}{\sqrt{6}}$ $15/sqrt6$ .

Multiply the numerator and denominator by $\sqrt{6}$ $sqrt 6$ .

$\frac{15}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}}$ $15/sqrt 6*sqrt 6/sqrt 6$ =

$\frac{15 \sqrt{6}}{6}$ $(15 sqrt 6)/6$

Factor out the GCF $3$ $3$ .

$((cancel 15^5/cancel 3^1)sqrt6)/((cancel 6^2)/(cancel 3^1))$ =

$(5sqrt 6)/2$

How do you simplify 15/sqrt615√615/sqrt6?