Question

$(9 ^{1/2} + 16 ^{0,5} ) ^{2}$

Ajudem!!!!

Answer 1

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$( \sqrt{9} + \sqrt{16} )^2= \\ \\ (3+4)^2=7^2=49 \\ \\ \\ 16^{ \frac{5}{10} }=16^{ \frac{1}{2}$

Answer 2

$(9^{\frac{1}{2}}+16^{0,5})^{2} \\\\ ([3^{2}]^{\frac{1}{2}}+[4^{2}]^{\frac{1}{2}})^{2} \\\\ (3^{2 \cdot \frac{1}{2}}+4^{2 \cdot \frac{1}{2}})^{2} \\\\ (3+4)^{2} = (7)^{2} = \boxed{\boxed{49}}$