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10 February, 02:20

What numbers does the square root of 355 fall between?

a) 15 and 16

b) 17 and 18

c) 18 and 19

d) 20 and 21

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Answers (1)
  1. 10 February, 02:26
    0
    The answer is c) 18 and 19.

    Let's go through all choices:

    a) 15 and 16 is not correct because √355 > 16 > 15:

    15 = √15² = √225

    16 = √16² = √256

    √355 > √256 > √225 ⇒ √355 > 16 > 15

    b) 17 and 18 is not correct because √355 > 18 > 17:

    17 = √17² = √289

    18 = √18² = √324

    √355 > √324 > √289 ⇒ 19 > √355 > 18

    c) 15 and 16 is correct because:

    18 = √18² = √324

    19 = √19² = √361

    √361 > √355 > √324 ⇒ 19 > √355 > 18

    d) 20 and 21 is not correct because 21 > 20 > √355:

    20 = √20² = √400

    21 = √21² = √441

    √441> √400> √355 ⇒ 21 > 20 > √355
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