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which number is a perfect square? 33 37 48 49

Question

which number is a perfect square? 33 37 48 49

Explanation:

Step1: Recall perfect square definition

A perfect square is a number that can be expressed as \( n^2 \), where \( n \) is an integer.

Step2: Check each option

  • For 33: Try integers. \( 5^2 = 25 \), \( 6^2 = 36 \). 33 is between them, not a square.
  • For 37: \( 6^2 = 36 \), \( 7^2 = 49 \). 37 is between, not a square.
  • For 48: \( 6^2 = 36 \), \( 7^2 = 49 \). 48 is between, not a square.
  • For 49: \( 7^2 = 49 \), so 49 is \( 7\times7 \), a perfect square.

Answer:

49 (the option with 49)