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\left(\sqrt{13}\right)^{2}-\left(\sqrt{15}\right)^{2}-4.5
Consider \left(\sqrt{13}+\sqrt{15}\right)\left(\sqrt{13}-\sqrt{15}\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
13-\left(\sqrt{15}\right)^{2}-4.5
The square of \sqrt{13} is 13.
13-15-4.5
The square of \sqrt{15} is 15.
-2-4.5
Subtract 15 from 13 to get -2.
-6.5
Subtract 4.5 from -2 to get -6.5.