## Podcast Beta

## Questions and Answers

Which of the following is an example of a surd?

What is the value of âˆš5?

Which of the following is an example of a whole number?

What is the simplified form of âˆš18?

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What is the value of âˆš(12 / 121)?

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What is the logarithm base 10 of 1000?

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Which of the following is the definition of a logarithm?

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What is the base of the natural logarithm?

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What is the base of the binary logarithm?

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Who introduced logarithms?

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## Study Notes

### Surds and Logarithms

- A surd is an example of an irrational number that cannot be expressed as a finite decimal.
- âˆš5 is an example of a surd.

### Whole Numbers

- A whole number is a positive integer, including 0, without a fractional component.

### Simplification of Surds

- âˆš18 can be simplified as 3âˆš2.

### Logarithms

- âˆš(12 / 121) is equal to âˆš(1/11) which is equal to 1/âˆš11.
- The logarithm base 10 of 1000 is 3, since 10^3 = 1000.

### Logarithm Definition

- A logarithm is the inverse operation of exponentiation, i.e., it undoes the exponentiation.

### Natural Logarithm

- The base of the natural logarithm is the Euler's number (e), approximately 2.718.

### Binary Logarithm

- The base of the binary logarithm is 2.

### History of Logarithms

- Logarithms were introduced by John Napier.

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## Description

Test your knowledge on surds with this quiz! Learn about the definition, types, rules, and problems involving surds in mathematics. Challenge yourself with questions on simplifying surds and identifying irrational numbers.