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The product of powers of the same base is equal to the base raised to the sum of the exponents: $a^m\cdot a^n=a^{m+n}$
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$\left(3+2^{\left(\frac{1}{2}+1\right)}\right)x^2-2\sqrt{2}\cdot \left(\sqrt{2}+1\right)x+2=0$
Learn how to solve problems step by step online. Solve the equation with radicals (3+22^1/2)x^2-22^1/2(2^1/2+1)x+2=0. The product of powers of the same base is equal to the base raised to the sum of the exponents: a^m\cdot a^n=a^{m+n}. Add the values \frac{1}{2} and 1. Multiply the single term x^2 by each term of the polynomial \left(3+\sqrt{\left(2\right)^{3}}\right). Multiply the single term -2\sqrt{2}x by each term of the polynomial \left(\sqrt{2}+1\right).