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\frac{15\sqrt{34}}{\left(\sqrt{34}\right)^{2}}-2\sqrt{34}
Rationalize the denominator of \frac{15}{\sqrt{34}} by multiplying numerator and denominator by \sqrt{34}.
\frac{15\sqrt{34}}{34}-2\sqrt{34}
The square of \sqrt{34} is 34.
-\frac{53}{34}\sqrt{34}
Combine \frac{15\sqrt{34}}{34} and -2\sqrt{34} to get -\frac{53}{34}\sqrt{34}.