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

5.5.3 - Finding square root through prime factorisation

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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

💡 Hint: Look for unpaired primes in the factorization.

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Reference links

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