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Solving Algebraic Equations with Recurring Decimals and Simplifying Radical Expressions

Solving Algebraic Equations with Recurring Decimals and Simplifying Radical Expressions

Assessment

Interactive Video

Mathematics, Science

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to convert recurring decimals into fractions using algebraic methods. It demonstrates the process of identifying recurring patterns, using algebra to eliminate decimals, and simplifying the resulting fraction. Additionally, the tutorial covers rationalizing denominators in expressions involving surds, showing how to simplify and express them in a specific form. The video emphasizes the importance of understanding these mathematical techniques for solving complex problems.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How is the fraction simplified to show that 0.436 reoccurring is equal to 24/55?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process of rationalizing the denominator in the expression root(20) + root(80) over root(3)?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to express the final result of root(20) + root(80) in the form of root A.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the key steps to ensure that the roots can be added together in the numerator?

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