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Order the expressions from least to greatest.

5^(2)quad4^(2)+2^(2)quad6^(2)-6

Order the expressions from least to greatest.\newline5242+22626 5^{2} \quad 4^{2}+2^{2} \quad 6^{2}-6

Full solution

Q. Order the expressions from least to greatest.\newline5242+22626 5^{2} \quad 4^{2}+2^{2} \quad 6^{2}-6
  1. Calculate 55 raised to the power of 22: Calculate the value of 525^{2}.\newline525^{2} means 55 raised to the power of 22.\newlineCalculation: 5×5=255 \times 5 = 25
  2. Calculate the sum of 424^2 and 222^2: Calculate the value of 42+224^{2}+2^{2}.\newline424^{2} means 44 raised to the power of 22, and 222^{2} means 22 raised to the power of 22.\newlineCalculation: (4×4)+(2×2)=16+4=20(4 \times 4) + (2 \times 2) = 16 + 4 = 20
  3. Calculate 6266^2 - 6: Calculate the value of 6266^{2}-6.\newline626^{2} means 66 raised to the power of 22.\newlineCalculation: (6×6)6=366=30(6 \times 6) - 6 = 36 - 6 = 30
  4. Order the calculated values: Compare the calculated values to order them from least to greatest.\newlineWe have the following values:\newline52=255^{2} = 25\newline42+22=204^{2}+2^{2} = 20\newline626=306^{2}-6 = 30\newlineOrdering: 4^{2}+2^{2} < 5^{2} < 6^{2}-6

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