Answer:
53. ±6
51. 2
Step-by-step explanation:
According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, evaluate everything in grouping symbols first, then evaluate the exponents to avoid confusion:
[tex]\sqrt{(32 + {2}^{3} - 4)} = \sqrt{32 + 8 - 4} = \sqrt{36} = ±6 \\ \\ (17 - 11 + {4}^{2}) \div 11 = (17 - 11 + 16) \div 11 = \\ \\ 22 \div 11 = 2[/tex]
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