Question

Pat shows that 16 1/2 = √16. What is one possible way Pat could have shown this correctly?

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}

Answer 1

choose an option

Answer 2

CHOOOOOOSEE ONE OF THE OPTIONSSS

Answer 3

One possible way Pat could have shown this correctly is by using the equation 16 1/2 = (4^2)^(1/2) = 4^(2*(1/2)) = 4^(1) = 4 = sqrt(16).

Answer 4

One possible way Pat could have shown this correctly is by using the equation 16 1/2 = (4^2)^(1/2) = 4^(2*(1/2)) = 4^(1) = 4 = sqrt(16).

Answer 5

Apologies for the confusion. One possible way Pat could have shown this correctly is by using the equation 16 1/2 = (4^2)^(1/2) = 4^(2*(1/2)) = 4^(1) = 4 = sqrt(16).