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10 July, 08:57

Which number line best shows the position of square root of 7? Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.7 and labeled as square root of 7. Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled as square root of 7. Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3.5 and labeled as square root of 7. Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 4.5 and labeled as square root of 7.

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  1. 10 July, 09:12
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    Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled as square root of 7

    Step-by-step explanation:

    * Lets explain how to solve this problem

    - We want to know the position of √7 on the number line, then:

    1 - Square the √7

    # (√7) ² = 7

    2 - Search 7 is between which two square numbers

    # 7 is between 4 and 9 which are square numbers

    3 - ⇒ 4 < 7 < 9 ⇒ take √ for all

    # 2 < √7 < 3

    ∴ The value of √7 is between 2 and 3

    * Lets look to the answer to find the correct answer

    ∵ The first answer is:

    A dot is made at 1.7 and labeled as square root of 7

    ∵ 1.7 is not between 2 and 3

    ∴ The first answer is not true

    ∵ The second answer is:

    A dot is made at 2.6 and labeled as square root of 7

    ∵ 2.6 is between 2 and 3

    ∴ The second answer is true

    ∴ Number line with numbers negative 4, negative 3, negative 2,

    negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled

    as square root of 7
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