Mathematics
Grade-8
Easy

Question

Mr. Cleaves wrote four irrational numbers on the SMART board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?

  1. square root of 8
  2. square root of 17
  3. square root of 12
  4. square root of 10

hintHint:

1. For a number x, its square root y is such that y * y = x.
2. Square of a number 'x' is such that x * x = perfect square of x.

The correct answer is: square root of 17


    GIVEN-
    Given number = 4.
    TO FIND-
    Number closest to 4 from the given options.
    SOLUTION-
    We know that square of 4 = 42 = 16.
    So, we need to find the number from the given options, whose square is closest to 16.
    For that, we find the squares of all the given options as-
    a. √12
    (√12)2 = 12 .......................... (√m2 = m)

    b. √17
    (√17)2 = 17 .......................... (√m2 = m)
    c. √8
    (√8)2 = 8 .......................... (√m2 = m)
    d. √10
    (√10)2 = 10 .......................... (√m2 = m)
    From the above calculations, we observe that the number closest to 16 is 17. Hence, the number closests to √16 i.e. 4 is √17.
    FINAL ANSWER-
    Option 'b' i.e. '√17' is the correct answer to the given question.

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