Subtracting radical numbers after simplifying

Subtracting radical numbers after simplifying

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to combine radicals by ensuring they are like terms. It starts with an introduction to the problem, highlighting that sqrt 98 and sqrt 32 are not like terms. The teacher then demonstrates simplifying radicals using the product rule, breaking down sqrt 98 and sqrt 32 into simpler components. Once simplified, the radicals can be combined as like terms, similar to combining variables. The lesson concludes with the teacher expressing fatigue and apologizing for the lengthy explanation.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the condition for combining radicals according to the teacher?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why sqrt(98) and sqrt(32) cannot be combined directly.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can sqrt(98) be rewritten to facilitate simplification?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression after simplifying 7sqrt(2) - 8sqrt(2)?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process the teacher uses to combine like terms in the example given.

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