How do you solve $\frac{32 + \sqrt{80}}{4}$ $(32 + sqrt 80) / 4$ ?

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Answer 1 · 2018-07-19T23:44:50

$8 + \sqrt{5}$ $8+sqrt5$

$\frac{32 + \sqrt{80}}{4} =$ $(32+sqrt80)/4=$

$\frac{32 + \sqrt{16 \cdot 5}}{4} =$ $(32+sqrt(16*5))/4=$

$\frac{32 + 4 \sqrt{5}}{4} =$ $(32+4sqrt(5))/4=$

Split the numerator:

$\frac{32}{4} + \frac{4 \sqrt{5}}{4} =$ $32/4+(4sqrt5)/4=$

$8 + \sqrt{5}$ $8+sqrt5$

How do you solve 32+√804(32 + sqrt 80) / 4?