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Expand $\left(\sqrt{8+2\sqrt{7}}-\sqrt{8-2\sqrt{7}}\right)^2$
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$8+2\sqrt{7}-2\sqrt{8+2\sqrt{7}}\sqrt{8-2\sqrt{7}}+8-2\sqrt{7}$
Learn how to solve problems step by step online. Simplify the expression with radicals ((8+27^(1/2))^(1/2)-(8-27^(1/2))^(1/2))^2. Expand \left(\sqrt{8+2\sqrt{7}}-\sqrt{8-2\sqrt{7}}\right)^2. Add the values 8 and 8. Cancel like terms 2\sqrt{7} and -2\sqrt{7}. Apply the property of power of a product in reverse: a^n\cdot b^n=(a\cdot b)^n.