1.3 Homework - Approximating Irrational Square Roots

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It cannot be written as a ratio of two integers.

Front

What is the square root of a number?

Back

The square root of a number x is a value that, when multiplied by itself, gives x. It is denoted as √x.

Front

How do you approximate the square root of a non-perfect square?

Back

To approximate the square root of a non-perfect square, find the two perfect squares it lies between and estimate its value.

Front

What is the approximate value of √133?

Back

√133 is approximately 11.5, as it lies between √121 (11) and √144 (12).

Front

What is the approximate value of √45?

Back

√45 is approximately 6.7, as it lies between √36 (6) and √49 (7).

Front

What is the approximate value of √103?

Back

√103 is approximately 10.1, as it lies between √100 (10) and √121 (11).

Front

What is the approximate value of √135?

Back

√135 is approximately 11.6, as it lies between √121 (11) and √144 (12).

Front

What is the approximate value of √67?

Back

√67 is approximately 8.2, as it lies between √64 (8) and √81 (9).

Front

What is a number line?

Back

A number line is a straight line with numbers placed at equal intervals along its length, used to represent numbers visually.

Front

How can you represent square roots on a number line?

Back

To represent square roots on a number line, locate the approximate value of the square root between two whole numbers.