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Course: Class 7 > Unit 5

Lesson 6: Square roots using factorisation
Math
Class 7
Indices
Square roots using factorisation
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Square roots using prime factorisation (advanced)

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Problem

Prime factorization can be really useful while finding the square roots of natural numbers.
What is the prime factorization of 1764?
Enter your answer as a product of prime numbers, like 2×2×3×3.
1764=
Find the square root of 1764.
1764=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi