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JEE Advance - Mathematics (1978 - No. 14)

Show that the square of $$\,{{\sqrt {26 - 15\sqrt 3 } } \over {5\sqrt 2 - \sqrt {38 + 5\sqrt 3 } }}$$ is a rational number.
The expression simplifies to a complex number.
The square of the expression equals 1/2.
The square of the expression equals 1.
The expression equals 0.
The square of the expression is an irrational number.

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