Approximating Irrationals 2

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes twice to make the greatest possible irrational number.

Hint

How can you tell whether an irrational number is greater or less than an integer?

Answer

The greatest possible irrational number you can make without repeating a digit is √76 is greater than 8 and less than 9.

Source: Robert Kaplinsky

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2 comments

  1. The students in my Block 3 class found a solution greater than sqrt(76):
    1 < sqrt(80) < 9

  2. My students want me to mention our school name (California School of the Arts – San Gabriel Valley).

    They are very proud of themselves =).

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