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Surds Quiz

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Questions and Answers

Which of the following is an example of a surd?

2 (correct)

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?

√2

√6 (correct)

√3

√5

What is the simplified form of √18?

3√2 Signup and view all the answers

What is the value of √(12 / 121)?

1/11 Signup and view all the answers

What is the logarithm base 10 of 1000?

3 Signup and view all the answers

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. Signup and view all the answers

What is the base of the natural logarithm?

e Signup and view all the answers

What is the base of the binary logarithm?

2 Signup and view all the answers

Who introduced logarithms?

John Napier Signup and view all the answers

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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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.