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This question has eluded me for days; I can't seem to solve it.

A certain star has a temperature twice that of the Sun and a luminosity 55 times greater than the solar value. What is its radius, in solar units?

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Hint:

There is an approximate relation between luminosity, radius and temperature for stars: $$ L = 4\pi R^2\sigma_B T_S^4 $$

Can you solve it from here?

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