Practice Finding square root through prime factorisation - 5.5.3 | 5. Squares and Square Roots | CBSE 8 Mathematics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the prime factorization of 16?

💡 Hint: Think of which number multiplied by itself gives 16.

Question 2

Easy

Is 49 a perfect square?

💡 Hint: Look for pairs in the factorization.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the square root of 144?

  • 10
  • 12
  • 14

💡 Hint: Think of the factors of 144.

Question 2

True or False: The number 45 is a perfect square.

  • True
  • False

💡 Hint: Check the prime factorization of 45.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Find the smallest multiple of 72 that is a perfect square and the square root of that number.

💡 Hint: Consider the prime factors of 72 and what factors you need to pair.

Question 2

Prove whether 2250 is a perfect square by using prime factorization.

💡 Hint: Look for unpaired primes in the factorization.

Challenge and get performance evaluation