Simplifying the Square Root of a Number by Factorization, Sqrt(45)

Simplifying the Square Root of a Number by Factorization, Sqrt(45)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify radicals using two methods: prime factorization and square numbers. It highlights the importance of understanding both methods and discusses common mistakes students make, such as incorrect factorization. The tutorial encourages using the square numbers method for efficiency but advises reverting to prime factorization if needed.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the two different methods discussed for simplifying radicals?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the prime factorization method for simplifying sqrt(45).

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer when simplifying sqrt(45) using the square number method?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of identifying the largest square number that divides into a given number?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it incorrect to use non-square numbers when simplifying radicals?

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