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Question

Jim is playing a math game where he needs to put a set of three cards in numerical order. His cards show 40 over 11 to the power of straight prime space square root of 324 over 36 end root and √10 . Order the cards from least to greatest.

hintHint:

Make every number in standard form and then arrange

The correct answer is: Make every number in standard form and then arrange


    Complete step by step solution:
    Here the numbers are 40 over 11 to the power of straight prime square root of 324 over 36 end root and square root of 10
    On squaring these numbers,

     open parentheses 40 over 11 close parentheses squared equals 1600 over 121 equals 13.22

     open parentheses square root of 324 over 36 end root squared equals 324 over 36 equals 9 close
     left parenthesis square root of 10 right parenthesis squared equals 10
    On arranging these from least to greatest, we have 9 <10 < 13.22
     not stretchy rightwards double arrow square root of 324 over 36 end root less than square root of 10 less than 40 over 11

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