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Square root of 11 X 2 -6 +5 (4sqaured -9)

Square root of 11 X 2 -6 +5 (4sqaured -9)-example-1
User Joetjah
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1 Answer

6 votes

Given the initial expression


\sqrt[]{11\cdot2-6}+5(4^2-9)

Notice that it is equivalent to


\sqrt[]{11\cdot2-6}+5(4^2-9)=(11\cdot2-6)^{(1)/(2)}+5(4^2-9)

Simplify as shown below


\begin{gathered} \sqrt[]{11\cdot2-6}+5(4^2-9) \\ =(11\cdot2-6)^{(1)/(2)}+5(4^2-9) \\ =(22-6)^{(1)/(2)}+5(16-9) \\ =(16)^{(1)/(2)}+5(7) \\ =4+35 \\ =39 \end{gathered}

Therefore, the answer is 39

User Amitai Fensterheim
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