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If q is the square of a natural number p, then p is

  • A.the square of q
  • B.the square root of q
  • C.equal to q
  • D.greater than q

Answer: B

p is the square root of q.

If q = p2, then by definition p is a number whose square is q, that is, p = √q. For example, if p = 7 then q = 49 and 7 is the square root of 49.

p is not the square of q (that would be q2 = 2401 in the example). p equals q only for p = 1, and for every natural number above 1 the square q is greater than p, not smaller, so options C and D are wrong.

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