Pat shows that 16 1/2 = √16. What is one possible way Pat could have shown this correctly? (choose one of the options)

16\frac{1}{2}=\left(4\cdot4\right)^{\frac{1}{2}}=4^{\frac{1}{2}}\cdot4^{\frac{1}{2}}=4^{\frac{1}{2}}+^{\frac{1}{2}}=4^{1}=4=\sqrt{16}

16\frac{1}{2}=\left(8\cdot8\right)^{\frac{1}{2}}=8^{\frac{1}{2}}\cdot8^{\frac{1}{2}}=8^{\frac{1}{2}}+^{\frac{1}{2}}=8^{1}=8=\sqrt{16}

16\frac{1}{2}=\left(8+8\right)^{\frac{1}{2}}=8^{\frac{1}{2}}\cdot8^{\frac{1}{2}}=8^{\frac{1}{2}}+^{\frac{1}{2}}=8^{1}=8=\sqrt{16}

16\frac{1}{2}=\left(4+4\right)=4^{\frac{1}{2}}\cdot4^{\frac{1}{2}}=4^{\frac{1}{2}}+4^{\frac{1}{2}}=4^{1}=4=\sqrt{16}

16\frac{1}{2}=\left(4\cdot4\right)^{\frac{1}{2}}=4^{\frac{1}{2}}\cdot4^{\frac{1}{2}}=4^{\frac{1}{2}}\cdot^{\frac{1}{2}}=4^{1}=4=\sqrt{16}

1 answer

16 1/2 = (4 + 4)^1/2 = 4^1/2 + 4^1/2 = 4 + 4 = 8 = √16
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