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Questions and Answers
Which of the following is an example of a surd?
Which of the following is an example of a surd?
- 8
- 4
- 2 (correct)
- 6
What is the value of √5?
What is the value of √5?
- 3.1622777
- 1.7320508
- 2.2360679 (correct)
- 1.4142135
Which of the following is an example of a whole number?
Which of the following is an example of a whole number?
- √2
- √6 (correct)
- √3
- √5
What is the simplified form of √18?
What is the simplified form of √18?
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What is the value of √(12 / 121)?
What is the value of √(12 / 121)?
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What is the logarithm base 10 of 1000?
What is the logarithm base 10 of 1000?
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Which of the following is the definition of a logarithm?
Which of the following is the definition of a logarithm?
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What is the base of the natural logarithm?
What is the base of the natural logarithm?
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What is the base of the binary logarithm?
What is the base of the binary logarithm?
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Who introduced logarithms?
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.
- √5 is an example of a surd.
Whole Numbers
- A whole number is a positive integer, including 0, without a fractional component.
Simplification of Surds
- √18 can be simplified as 3√2.
Logarithms
- √(12 / 121) is equal to √(1/11) which is equal to 1/√11.
- 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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