What is the square root of the square root of 32/72?

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Answer 1 · 2018-06-13T06:24:31

$= \frac{\sqrt{6}}{3} \approx 0.816$ $=sqrt6/3~~0.816$

$= \sqrt{\sqrt{\frac{32}{72}}}$ $=sqrt(sqrt(32/72))$

$= \sqrt{\sqrt{\frac{4}{9}}}$ $=sqrt(sqrt(4/9))$

$= \frac{\sqrt{\sqrt{4}}}{\sqrt{\sqrt{9}}}$ $=(sqrt(sqrt(4)))/(sqrt(sqrt(9)))$

$= \frac{\sqrt{2}}{\sqrt{3}}$ $=sqrt2/sqrt3$

rationalize the denominator:

$= \frac{\sqrt{2}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}$ $=sqrt2/sqrt3*sqrt3/sqrt3$

$= \frac{\sqrt{6}}{3} \approx 0.816$ $=sqrt6/3~~0.816$