10 Questions
Which of the following is an example of a surd?
2
What is the value of √5?
2.2360679
Which of the following is an example of a whole number?
√6
What is the simplified form of √18?
3√2
What is the value of √(12 / 121)?
1/11
What is the logarithm base 10 of 1000?
3
Which of the following is the definition of a logarithm?
The logarithm of a number x to the base b is the exponent to which b must be raised to produce x.
What is the base of the natural logarithm?
e
What is the base of the binary logarithm?
2
Who introduced logarithms?
John Napier
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.
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.
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