# Obtain the binomial expansion of ( 2 - square root of 3) to the power of 6 in the form a + b square root of 3, where a and b are integers. State the corresponding result for the expansion ( 2 + square root of 3) to the power of 6 and show that ( 2 - square root of 3) to the power of 6 is the reciprocal of ( 2 + square root of 3) to the power of 6?

the given binomial expression is:

and similarly $\left(2+\sqrt{3}{\right)}^{6}=1351+780\sqrt{3}$

hope this helps you

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